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Finding the Fourth Proportional to 6,762.76, 9,334.08 and 4,109.64

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Solution

The fourth proportional to 6,762.76, 9,334.08 and 4,109.64 is: 5,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.76 : 9,334.08 = 4,109.64 : x
  2. Step 2: Convert to fraction form
    6,762.76/9,334.08 = 4,109.64/x
  3. Step 3: Cross multiply
    6,762.76x = 9,334.08 × 4,109.64
  4. Step 4: Simplify right side
    6,762.76x = 38,359,708.53
  5. Step 5: Solve for x
    x = 38,359,708.53/6,762.76
  6. Step 6: Final answer
    x = 5,672.20

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Half scale
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Double scale
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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.