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Finding the Fourth Proportional to 10,570, 14,587.06 and 5,854.30

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Solution

The fourth proportional to 10,570, 14,587.06 and 5,854.30 is: 8,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570 : 14,587.06 = 5,854.30 : x
  2. Step 2: Convert to fraction form
    10,570/14,587.06 = 5,854.30/x
  3. Step 3: Cross multiply
    10,570x = 14,587.06 × 5,854.30
  4. Step 4: Simplify right side
    10,570x = 85,397,025.36
  5. Step 5: Solve for x
    x = 85,397,025.36/10,570
  6. Step 6: Final answer
    x = 8,079.19

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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.