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Finding the Fourth Proportional to 9,148.50, 12,620.07 and 6,159.24

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Solution

The fourth proportional to 9,148.50, 12,620.07 and 6,159.24 is: 8,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.50 : 12,620.07 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    9,148.50/12,620.07 = 6,159.24/x
  3. Step 3: Cross multiply
    9,148.50x = 12,620.07 × 6,159.24
  4. Step 4: Simplify right side
    9,148.50x = 77,730,039.95
  5. Step 5: Solve for x
    x = 77,730,039.95/9,148.50
  6. Step 6: Final answer
    x = 8,496.48

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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.