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Finding the Fourth Proportional to 12,497.40, 18,737.10 and 5,098.20

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Solution

The fourth proportional to 12,497.40, 18,737.10 and 5,098.20 is: 7,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.40 : 18,737.10 = 5,098.20 : x
  2. Step 2: Convert to fraction form
    12,497.40/18,737.10 = 5,098.20/x
  3. Step 3: Cross multiply
    12,497.40x = 18,737.10 × 5,098.20
  4. Step 4: Simplify right side
    12,497.40x = 95,525,483.22
  5. Step 5: Solve for x
    x = 95,525,483.22/12,497.40
  6. Step 6: Final answer
    x = 7,643.63

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1.5x scale

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.