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Finding the Fourth Proportional to 9,548, 13,176.24 and 5,357.60

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Solution

The fourth proportional to 9,548, 13,176.24 and 5,357.60 is: 7,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548 : 13,176.24 = 5,357.60 : x
  2. Step 2: Convert to fraction form
    9,548/13,176.24 = 5,357.60/x
  3. Step 3: Cross multiply
    9,548x = 13,176.24 × 5,357.60
  4. Step 4: Simplify right side
    9,548x = 70,593,023.42
  5. Step 5: Solve for x
    x = 70,593,023.42/9,548
  6. Step 6: Final answer
    x = 7,393.49

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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.