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Finding the Fourth Proportional to 16,546.04, 22,831.62 and 9,472.04

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Solution

The fourth proportional to 16,546.04, 22,831.62 and 9,472.04 is: 13,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.04 : 22,831.62 = 9,472.04 : x
  2. Step 2: Convert to fraction form
    16,546.04/22,831.62 = 9,472.04/x
  3. Step 3: Cross multiply
    16,546.04x = 22,831.62 × 9,472.04
  4. Step 4: Simplify right side
    16,546.04x = 216,262,017.90
  5. Step 5: Solve for x
    x = 216,262,017.90/16,546.04
  6. Step 6: Final answer
    x = 13,070.32

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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.