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Finding the Fourth Proportional to 11,867.38, 17,802.02 and 6,937.53

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Solution

The fourth proportional to 11,867.38, 17,802.02 and 6,937.53 is: 10,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.38 : 17,802.02 = 6,937.53 : x
  2. Step 2: Convert to fraction form
    11,867.38/17,802.02 = 6,937.53/x
  3. Step 3: Cross multiply
    11,867.38x = 17,802.02 × 6,937.53
  4. Step 4: Simplify right side
    11,867.38x = 123,502,047.81
  5. Step 5: Solve for x
    x = 123,502,047.81/11,867.38
  6. Step 6: Final answer
    x = 10,406.85

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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.