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Finding the Fourth Proportional to 16,352, 22,563.96 and 9,278.48

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Solution

The fourth proportional to 16,352, 22,563.96 and 9,278.48 is: 12,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352 : 22,563.96 = 9,278.48 : x
  2. Step 2: Convert to fraction form
    16,352/22,563.96 = 9,278.48/x
  3. Step 3: Cross multiply
    16,352x = 22,563.96 × 9,278.48
  4. Step 4: Simplify right side
    16,352x = 209,359,251.58
  5. Step 5: Solve for x
    x = 209,359,251.58/16,352
  6. Step 6: Final answer
    x = 12,803.28

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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.