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Finding the Fourth Proportional to 10,678.80, 16,018.20 and 9,585.30

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Solution

The fourth proportional to 10,678.80, 16,018.20 and 9,585.30 is: 14,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.80 : 16,018.20 = 9,585.30 : x
  2. Step 2: Convert to fraction form
    10,678.80/16,018.20 = 9,585.30/x
  3. Step 3: Cross multiply
    10,678.80x = 16,018.20 × 9,585.30
  4. Step 4: Simplify right side
    10,678.80x = 153,539,252.46
  5. Step 5: Solve for x
    x = 153,539,252.46/10,678.80
  6. Step 6: Final answer
    x = 14,377.95

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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.