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Finding the Fourth Proportional to 10,051.65, 15,061.07 and 9,667.71

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Solution

The fourth proportional to 10,051.65, 15,061.07 and 9,667.71 is: 14,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.65 : 15,061.07 = 9,667.71 : x
  2. Step 2: Convert to fraction form
    10,051.65/15,061.07 = 9,667.71/x
  3. Step 3: Cross multiply
    10,051.65x = 15,061.07 × 9,667.71
  4. Step 4: Simplify right side
    10,051.65x = 145,606,008.71
  5. Step 5: Solve for x
    x = 145,606,008.71/10,051.65
  6. Step 6: Final answer
    x = 14,485.78

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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.