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Finding the Fourth Proportional to 10,045.86, 13,862.91 and 5,569.68

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Solution

The fourth proportional to 10,045.86, 13,862.91 and 5,569.68 is: 7,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.86 : 13,862.91 = 5,569.68 : x
  2. Step 2: Convert to fraction form
    10,045.86/13,862.91 = 5,569.68/x
  3. Step 3: Cross multiply
    10,045.86x = 13,862.91 × 5,569.68
  4. Step 4: Simplify right side
    10,045.86x = 77,211,972.57
  5. Step 5: Solve for x
    x = 77,211,972.57/10,045.86
  6. Step 6: Final answer
    x = 7,685.95

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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.