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Finding the Fourth Proportional to 9,693.68, 13,378.02 and 5,502.20

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Solution

The fourth proportional to 9,693.68, 13,378.02 and 5,502.20 is: 7,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.68 : 13,378.02 = 5,502.20 : x
  2. Step 2: Convert to fraction form
    9,693.68/13,378.02 = 5,502.20/x
  3. Step 3: Cross multiply
    9,693.68x = 13,378.02 × 5,502.20
  4. Step 4: Simplify right side
    9,693.68x = 73,608,541.64
  5. Step 5: Solve for x
    x = 73,608,541.64/9,693.68
  6. Step 6: Final answer
    x = 7,593.46

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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.