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Finding the Fourth Proportional to 10,948.80, 16,423.20 and 8,356.80

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Solution

The fourth proportional to 10,948.80, 16,423.20 and 8,356.80 is: 12,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.80 : 16,423.20 = 8,356.80 : x
  2. Step 2: Convert to fraction form
    10,948.80/16,423.20 = 8,356.80/x
  3. Step 3: Cross multiply
    10,948.80x = 16,423.20 × 8,356.80
  4. Step 4: Simplify right side
    10,948.80x = 137,245,397.76
  5. Step 5: Solve for x
    x = 137,245,397.76/10,948.80
  6. Step 6: Final answer
    x = 12,535.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.