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Finding the Fourth Proportional to 12,597.47, 17,384.67 and 6,932.87

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Solution

The fourth proportional to 12,597.47, 17,384.67 and 6,932.87 is: 9,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.47 : 17,384.67 = 6,932.87 : x
  2. Step 2: Convert to fraction form
    12,597.47/17,384.67 = 6,932.87/x
  3. Step 3: Cross multiply
    12,597.47x = 17,384.67 × 6,932.87
  4. Step 4: Simplify right side
    12,597.47x = 120,525,700.56
  5. Step 5: Solve for x
    x = 120,525,700.56/12,597.47
  6. Step 6: Final answer
    x = 9,567.45

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1.5x scale

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.