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Finding the Fourth Proportional to 10,365.70, 15,546.90 and 3,440.20

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Solution

The fourth proportional to 10,365.70, 15,546.90 and 3,440.20 is: 5,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.70 : 15,546.90 = 3,440.20 : x
  2. Step 2: Convert to fraction form
    10,365.70/15,546.90 = 3,440.20/x
  3. Step 3: Cross multiply
    10,365.70x = 15,546.90 × 3,440.20
  4. Step 4: Simplify right side
    10,365.70x = 53,484,445.38
  5. Step 5: Solve for x
    x = 53,484,445.38/10,365.70
  6. Step 6: Final answer
    x = 5,159.75

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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.