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Finding the Fourth Proportional to 9,672.60, 13,347.18 and 5,693.48

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Solution

The fourth proportional to 9,672.60, 13,347.18 and 5,693.48 is: 7,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.60 : 13,347.18 = 5,693.48 : x
  2. Step 2: Convert to fraction form
    9,672.60/13,347.18 = 5,693.48/x
  3. Step 3: Cross multiply
    9,672.60x = 13,347.18 × 5,693.48
  4. Step 4: Simplify right side
    9,672.60x = 75,991,835.65
  5. Step 5: Solve for x
    x = 75,991,835.65/9,672.60
  6. Step 6: Final answer
    x = 7,856.40

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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.