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Finding the Fourth Proportional to 16,448.49, 22,697.15 and 9,734.40

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Solution

The fourth proportional to 16,448.49, 22,697.15 and 9,734.40 is: 13,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.49 : 22,697.15 = 9,734.40 : x
  2. Step 2: Convert to fraction form
    16,448.49/22,697.15 = 9,734.40/x
  3. Step 3: Cross multiply
    16,448.49x = 22,697.15 × 9,734.40
  4. Step 4: Simplify right side
    16,448.49x = 220,943,088.29
  5. Step 5: Solve for x
    x = 220,943,088.29/16,448.49
  6. Step 6: Final answer
    x = 13,432.42

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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.