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Finding the Fourth Proportional to 7,031.60, 9,705.24 and 4,938.80

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Solution

The fourth proportional to 7,031.60, 9,705.24 and 4,938.80 is: 6,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.60 : 9,705.24 = 4,938.80 : x
  2. Step 2: Convert to fraction form
    7,031.60/9,705.24 = 4,938.80/x
  3. Step 3: Cross multiply
    7,031.60x = 9,705.24 × 4,938.80
  4. Step 4: Simplify right side
    7,031.60x = 47,932,239.31
  5. Step 5: Solve for x
    x = 47,932,239.31/7,031.60
  6. Step 6: Final answer
    x = 6,816.69

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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.