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Finding the Fourth Proportional to 12,634.47, 17,424.47 and 7,596.87

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Solution

The fourth proportional to 12,634.47, 17,424.47 and 7,596.87 is: 10,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.47 : 17,424.47 = 7,596.87 : x
  2. Step 2: Convert to fraction form
    12,634.47/17,424.47 = 7,596.87/x
  3. Step 3: Cross multiply
    12,634.47x = 17,424.47 × 7,596.87
  4. Step 4: Simplify right side
    12,634.47x = 132,371,395.42
  5. Step 5: Solve for x
    x = 132,371,395.42/12,634.47
  6. Step 6: Final answer
    x = 10,477.00

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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.