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Finding the Fourth Proportional to 16,301, 22,496.51 and 9,227.45

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Solution

The fourth proportional to 16,301, 22,496.51 and 9,227.45 is: 12,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301 : 22,496.51 = 9,227.45 : x
  2. Step 2: Convert to fraction form
    16,301/22,496.51 = 9,227.45/x
  3. Step 3: Cross multiply
    16,301x = 22,496.51 × 9,227.45
  4. Step 4: Simplify right side
    16,301x = 207,585,421.20
  5. Step 5: Solve for x
    x = 207,585,421.20/16,301
  6. Step 6: Final answer
    x = 12,734.52

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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.