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Finding the Fourth Proportional to 7,232.76, 9,975.14 and 5,738.30

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Solution

The fourth proportional to 7,232.76, 9,975.14 and 5,738.30 is: 7,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.76 : 9,975.14 = 5,738.30 : x
  2. Step 2: Convert to fraction form
    7,232.76/9,975.14 = 5,738.30/x
  3. Step 3: Cross multiply
    7,232.76x = 9,975.14 × 5,738.30
  4. Step 4: Simplify right side
    7,232.76x = 57,240,345.86
  5. Step 5: Solve for x
    x = 57,240,345.86/7,232.76
  6. Step 6: Final answer
    x = 7,914.04

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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.