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Finding the Fourth Proportional to 9,604.47, 13,253.64 and 5,412.45

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Solution

The fourth proportional to 9,604.47, 13,253.64 and 5,412.45 is: 7,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.47 : 13,253.64 = 5,412.45 : x
  2. Step 2: Convert to fraction form
    9,604.47/13,253.64 = 5,412.45/x
  3. Step 3: Cross multiply
    9,604.47x = 13,253.64 × 5,412.45
  4. Step 4: Simplify right side
    9,604.47x = 71,734,663.82
  5. Step 5: Solve for x
    x = 71,734,663.82/9,604.47
  6. Step 6: Final answer
    x = 7,468.88

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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.