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Finding the Fourth Proportional to 9,888.62, 13,646.22 and 5,412.28

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Solution

The fourth proportional to 9,888.62, 13,646.22 and 5,412.28 is: 7,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.62 : 13,646.22 = 5,412.28 : x
  2. Step 2: Convert to fraction form
    9,888.62/13,646.22 = 5,412.28/x
  3. Step 3: Cross multiply
    9,888.62x = 13,646.22 × 5,412.28
  4. Step 4: Simplify right side
    9,888.62x = 73,857,163.58
  5. Step 5: Solve for x
    x = 73,857,163.58/9,888.62
  6. Step 6: Final answer
    x = 7,468.91

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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.