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Finding the Fourth Proportional to 12,464.68, 17,202.18 and 7,159.72

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Solution

The fourth proportional to 12,464.68, 17,202.18 and 7,159.72 is: 9,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.68 : 17,202.18 = 7,159.72 : x
  2. Step 2: Convert to fraction form
    12,464.68/17,202.18 = 7,159.72/x
  3. Step 3: Cross multiply
    12,464.68x = 17,202.18 × 7,159.72
  4. Step 4: Simplify right side
    12,464.68x = 123,162,792.19
  5. Step 5: Solve for x
    x = 123,162,792.19/12,464.68
  6. Step 6: Final answer
    x = 9,880.94

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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.