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Finding the Fourth Proportional to 9,097.48, 13,642.98 and 6,178.24

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Solution

The fourth proportional to 9,097.48, 13,642.98 and 6,178.24 is: 9,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.48 : 13,642.98 = 6,178.24 : x
  2. Step 2: Convert to fraction form
    9,097.48/13,642.98 = 6,178.24/x
  3. Step 3: Cross multiply
    9,097.48x = 13,642.98 × 6,178.24
  4. Step 4: Simplify right side
    9,097.48x = 84,289,604.76
  5. Step 5: Solve for x
    x = 84,289,604.76/9,097.48
  6. Step 6: Final answer
    x = 9,265.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.