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Finding the Fourth Proportional to 10,045.75, 13,862.75 and 5,569.58

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Solution

The fourth proportional to 10,045.75, 13,862.75 and 5,569.58 is: 7,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.75 : 13,862.75 = 5,569.58 : x
  2. Step 2: Convert to fraction form
    10,045.75/13,862.75 = 5,569.58/x
  3. Step 3: Cross multiply
    10,045.75x = 13,862.75 × 5,569.58
  4. Step 4: Simplify right side
    10,045.75x = 77,209,695.15
  5. Step 5: Solve for x
    x = 77,209,695.15/10,045.75
  6. Step 6: Final answer
    x = 7,685.81

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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.