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Finding the Fourth Proportional to 10,575.57, 14,594.93 and 6,099.24

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Solution

The fourth proportional to 10,575.57, 14,594.93 and 6,099.24 is: 8,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.57 : 14,594.93 = 6,099.24 : x
  2. Step 2: Convert to fraction form
    10,575.57/14,594.93 = 6,099.24/x
  3. Step 3: Cross multiply
    10,575.57x = 14,594.93 × 6,099.24
  4. Step 4: Simplify right side
    10,575.57x = 89,017,877.38
  5. Step 5: Solve for x
    x = 89,017,877.38/10,575.57
  6. Step 6: Final answer
    x = 8,417.32

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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.