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Finding the Fourth Proportional to 7,353.40, 10,143.80 and 4,659.86

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Solution

The fourth proportional to 7,353.40, 10,143.80 and 4,659.86 is: 6,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.40 : 10,143.80 = 4,659.86 : x
  2. Step 2: Convert to fraction form
    7,353.40/10,143.80 = 4,659.86/x
  3. Step 3: Cross multiply
    7,353.40x = 10,143.80 × 4,659.86
  4. Step 4: Simplify right side
    7,353.40x = 47,268,687.87
  5. Step 5: Solve for x
    x = 47,268,687.87/7,353.40
  6. Step 6: Final answer
    x = 6,428.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.