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Finding the Fourth Proportional to 9,534.42, 13,148.42 and 7,296.39

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Solution

The fourth proportional to 9,534.42, 13,148.42 and 7,296.39 is: 10,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.42 : 13,148.42 = 7,296.39 : x
  2. Step 2: Convert to fraction form
    9,534.42/13,148.42 = 7,296.39/x
  3. Step 3: Cross multiply
    9,534.42x = 13,148.42 × 7,296.39
  4. Step 4: Simplify right side
    9,534.42x = 95,935,963.72
  5. Step 5: Solve for x
    x = 95,935,963.72/9,534.42
  6. Step 6: Final answer
    x = 10,062.07

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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.