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Finding the Fourth Proportional to 11,347.68, 15,654.68 and 6,629.84

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Solution

The fourth proportional to 11,347.68, 15,654.68 and 6,629.84 is: 9,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.68 : 15,654.68 = 6,629.84 : x
  2. Step 2: Convert to fraction form
    11,347.68/15,654.68 = 6,629.84/x
  3. Step 3: Cross multiply
    11,347.68x = 15,654.68 × 6,629.84
  4. Step 4: Simplify right side
    11,347.68x = 103,788,023.65
  5. Step 5: Solve for x
    x = 103,788,023.65/11,347.68
  6. Step 6: Final answer
    x = 9,146.19

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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.