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Finding the Fourth Proportional to 10,008.76, 13,812.12 and 5,532.64

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Solution

The fourth proportional to 10,008.76, 13,812.12 and 5,532.64 is: 7,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.76 : 13,812.12 = 5,532.64 : x
  2. Step 2: Convert to fraction form
    10,008.76/13,812.12 = 5,532.64/x
  3. Step 3: Cross multiply
    10,008.76x = 13,812.12 × 5,532.64
  4. Step 4: Simplify right side
    10,008.76x = 76,417,487.60
  5. Step 5: Solve for x
    x = 76,417,487.60/10,008.76
  6. Step 6: Final answer
    x = 7,635.06

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Half 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.