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Finding the Fourth Proportional to 9,888.48, 13,642.80 and 6,162.24

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Solution

The fourth proportional to 9,888.48, 13,642.80 and 6,162.24 is: 8,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.48 : 13,642.80 = 6,162.24 : x
  2. Step 2: Convert to fraction form
    9,888.48/13,642.80 = 6,162.24/x
  3. Step 3: Cross multiply
    9,888.48x = 13,642.80 × 6,162.24
  4. Step 4: Simplify right side
    9,888.48x = 84,070,207.87
  5. Step 5: Solve for x
    x = 84,070,207.87/9,888.48
  6. Step 6: Final answer
    x = 8,501.83

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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.