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Finding the Fourth Proportional to 7,124.48, 9,832.74 and 5,353.01

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Solution

The fourth proportional to 7,124.48, 9,832.74 and 5,353.01 is: 7,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.48 : 9,832.74 = 5,353.01 : x
  2. Step 2: Convert to fraction form
    7,124.48/9,832.74 = 5,353.01/x
  3. Step 3: Cross multiply
    7,124.48x = 9,832.74 × 5,353.01
  4. Step 4: Simplify right side
    7,124.48x = 52,634,706.38
  5. Step 5: Solve for x
    x = 52,634,706.38/7,124.48
  6. Step 6: Final answer
    x = 7,387.87

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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.