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Finding the Fourth Proportional to 8,301.58, 12,449.07 and 4,140.10

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Solution

The fourth proportional to 8,301.58, 12,449.07 and 4,140.10 is: 6,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.58 : 12,449.07 = 4,140.10 : x
  2. Step 2: Convert to fraction form
    8,301.58/12,449.07 = 4,140.10/x
  3. Step 3: Cross multiply
    8,301.58x = 12,449.07 × 4,140.10
  4. Step 4: Simplify right side
    8,301.58x = 51,540,394.71
  5. Step 5: Solve for x
    x = 51,540,394.71/8,301.58
  6. Step 6: Final answer
    x = 6,208.50

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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.