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Finding the Fourth Proportional to 10,807.68, 14,898.96 and 7,610.88

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Solution

The fourth proportional to 10,807.68, 14,898.96 and 7,610.88 is: 10,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.68 : 14,898.96 = 7,610.88 : x
  2. Step 2: Convert to fraction form
    10,807.68/14,898.96 = 7,610.88/x
  3. Step 3: Cross multiply
    10,807.68x = 14,898.96 × 7,610.88
  4. Step 4: Simplify right side
    10,807.68x = 113,394,196.68
  5. Step 5: Solve for x
    x = 113,394,196.68/10,807.68
  6. Step 6: Final answer
    x = 10,492.00

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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.