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Finding the Fourth Proportional to 10,038.01, 15,046.99 and 6,709.07

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Solution

The fourth proportional to 10,038.01, 15,046.99 and 6,709.07 is: 10,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.01 : 15,046.99 = 6,709.07 : x
  2. Step 2: Convert to fraction form
    10,038.01/15,046.99 = 6,709.07/x
  3. Step 3: Cross multiply
    10,038.01x = 15,046.99 × 6,709.07
  4. Step 4: Simplify right side
    10,038.01x = 100,951,233.96
  5. Step 5: Solve for x
    x = 100,951,233.96/10,038.01
  6. Step 6: Final answer
    x = 10,056.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.