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Finding the Fourth Proportional to 7,154.17, 9,867.34 and 6,268.44

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Solution

The fourth proportional to 7,154.17, 9,867.34 and 6,268.44 is: 8,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.17 : 9,867.34 = 6,268.44 : x
  2. Step 2: Convert to fraction form
    7,154.17/9,867.34 = 6,268.44/x
  3. Step 3: Cross multiply
    7,154.17x = 9,867.34 × 6,268.44
  4. Step 4: Simplify right side
    7,154.17x = 61,852,828.75
  5. Step 5: Solve for x
    x = 61,852,828.75/7,154.17
  6. Step 6: Final answer
    x = 8,645.70

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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.