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Finding the Fourth Proportional to 15,114.30, 22,678.90 and 6,800.20

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Solution

The fourth proportional to 15,114.30, 22,678.90 and 6,800.20 is: 10,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.30 : 22,678.90 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    15,114.30/22,678.90 = 6,800.20/x
  3. Step 3: Cross multiply
    15,114.30x = 22,678.90 × 6,800.20
  4. Step 4: Simplify right side
    15,114.30x = 154,221,055.78
  5. Step 5: Solve for x
    x = 154,221,055.78/15,114.30
  6. Step 6: Final answer
    x = 10,203.65

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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.