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Finding the Fourth Proportional to 6,123.60, 9,174.60 and 5,259.60

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Solution

The fourth proportional to 6,123.60, 9,174.60 and 5,259.60 is: 7,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.60 : 9,174.60 = 5,259.60 : x
  2. Step 2: Convert to fraction form
    6,123.60/9,174.60 = 5,259.60/x
  3. Step 3: Cross multiply
    6,123.60x = 9,174.60 × 5,259.60
  4. Step 4: Simplify right side
    6,123.60x = 48,254,726.16
  5. Step 5: Solve for x
    x = 48,254,726.16/6,123.60
  6. Step 6: Final answer
    x = 7,880.12

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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.