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Finding the Fourth Proportional to 16,329.04, 22,534 and 8,877.04

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Solution

The fourth proportional to 16,329.04, 22,534 and 8,877.04 is: 12,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.04 : 22,534 = 8,877.04 : x
  2. Step 2: Convert to fraction form
    16,329.04/22,534 = 8,877.04/x
  3. Step 3: Cross multiply
    16,329.04x = 22,534 × 8,877.04
  4. Step 4: Simplify right side
    16,329.04x = 200,035,219.36
  5. Step 5: Solve for x
    x = 200,035,219.36/16,329.04
  6. Step 6: Final answer
    x = 12,250.27

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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.