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Finding the Fourth Proportional to 6,332, 9,500.24 and 4,597.60

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Solution

The fourth proportional to 6,332, 9,500.24 and 4,597.60 is: 6,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332 : 9,500.24 = 4,597.60 : x
  2. Step 2: Convert to fraction form
    6,332/9,500.24 = 4,597.60/x
  3. Step 3: Cross multiply
    6,332x = 9,500.24 × 4,597.60
  4. Step 4: Simplify right side
    6,332x = 43,678,303.42
  5. Step 5: Solve for x
    x = 43,678,303.42/6,332
  6. Step 6: Final answer
    x = 6,898.03

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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.