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Finding the Fourth Proportional to 16,315, 22,512.79 and 9,599.15

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Solution

The fourth proportional to 16,315, 22,512.79 and 9,599.15 is: 13,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315 : 22,512.79 = 9,599.15 : x
  2. Step 2: Convert to fraction form
    16,315/22,512.79 = 9,599.15/x
  3. Step 3: Cross multiply
    16,315x = 22,512.79 × 9,599.15
  4. Step 4: Simplify right side
    16,315x = 216,103,648.13
  5. Step 5: Solve for x
    x = 216,103,648.13/16,315
  6. Step 6: Final answer
    x = 13,245.70

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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.