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Finding the Fourth Proportional to 15,781.95, 23,673.06 and 7,462.17

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Solution

The fourth proportional to 15,781.95, 23,673.06 and 7,462.17 is: 11,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.95 : 23,673.06 = 7,462.17 : x
  2. Step 2: Convert to fraction form
    15,781.95/23,673.06 = 7,462.17/x
  3. Step 3: Cross multiply
    15,781.95x = 23,673.06 × 7,462.17
  4. Step 4: Simplify right side
    15,781.95x = 176,652,398.14
  5. Step 5: Solve for x
    x = 176,652,398.14/15,781.95
  6. Step 6: Final answer
    x = 11,193.32

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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.