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Finding the Fourth Proportional to 10,060, 13,877.64 and 6,475.60

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Solution

The fourth proportional to 10,060, 13,877.64 and 6,475.60 is: 8,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060 : 13,877.64 = 6,475.60 : x
  2. Step 2: Convert to fraction form
    10,060/13,877.64 = 6,475.60/x
  3. Step 3: Cross multiply
    10,060x = 13,877.64 × 6,475.60
  4. Step 4: Simplify right side
    10,060x = 89,866,045.58
  5. Step 5: Solve for x
    x = 89,866,045.58/10,060
  6. Step 6: Final answer
    x = 8,933.01

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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.