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Finding the Fourth Proportional to 10,059.46, 13,877.98 and 6,473.74

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Solution

The fourth proportional to 10,059.46, 13,877.98 and 6,473.74 is: 8,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.46 : 13,877.98 = 6,473.74 : x
  2. Step 2: Convert to fraction form
    10,059.46/13,877.98 = 6,473.74/x
  3. Step 3: Cross multiply
    10,059.46x = 13,877.98 × 6,473.74
  4. Step 4: Simplify right side
    10,059.46x = 89,842,445.80
  5. Step 5: Solve for x
    x = 89,842,445.80/10,059.46
  6. Step 6: Final answer
    x = 8,931.14

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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.