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Finding the Fourth Proportional to 10,045.68, 13,863.12 and 5,569.48

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Solution

The fourth proportional to 10,045.68, 13,863.12 and 5,569.48 is: 7,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.68 : 13,863.12 = 5,569.48 : x
  2. Step 2: Convert to fraction form
    10,045.68/13,863.12 = 5,569.48/x
  3. Step 3: Cross multiply
    10,045.68x = 13,863.12 × 5,569.48
  4. Step 4: Simplify right side
    10,045.68x = 77,210,369.58
  5. Step 5: Solve for x
    x = 77,210,369.58/10,045.68
  6. Step 6: Final answer
    x = 7,685.93

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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.