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Finding the Fourth Proportional to 10,590.60, 15,875.10 and 6,205.80

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Solution

The fourth proportional to 10,590.60, 15,875.10 and 6,205.80 is: 9,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.60 : 15,875.10 = 6,205.80 : x
  2. Step 2: Convert to fraction form
    10,590.60/15,875.10 = 6,205.80/x
  3. Step 3: Cross multiply
    10,590.60x = 15,875.10 × 6,205.80
  4. Step 4: Simplify right side
    10,590.60x = 98,517,695.58
  5. Step 5: Solve for x
    x = 98,517,695.58/10,590.60
  6. Step 6: Final answer
    x = 9,302.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.