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Finding the Fourth Proportional to 9,424.48, 13,000.08 and 7,301.92

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Solution

The fourth proportional to 9,424.48, 13,000.08 and 7,301.92 is: 10,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.48 : 13,000.08 = 7,301.92 : x
  2. Step 2: Convert to fraction form
    9,424.48/13,000.08 = 7,301.92/x
  3. Step 3: Cross multiply
    9,424.48x = 13,000.08 × 7,301.92
  4. Step 4: Simplify right side
    9,424.48x = 94,925,544.15
  5. Step 5: Solve for x
    x = 94,925,544.15/9,424.48
  6. Step 6: Final answer
    x = 10,072.23

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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.