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Finding the Fourth Proportional to 8,532.04, 11,762.76 and 7,657.24

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Solution

The fourth proportional to 8,532.04, 11,762.76 and 7,657.24 is: 10,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.04 : 11,762.76 = 7,657.24 : x
  2. Step 2: Convert to fraction form
    8,532.04/11,762.76 = 7,657.24/x
  3. Step 3: Cross multiply
    8,532.04x = 11,762.76 × 7,657.24
  4. Step 4: Simplify right side
    8,532.04x = 90,070,276.38
  5. Step 5: Solve for x
    x = 90,070,276.38/8,532.04
  6. Step 6: Final answer
    x = 10,556.71

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.