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Finding the Fourth Proportional to 12,464.76, 17,200.26 and 7,159.08

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Solution

The fourth proportional to 12,464.76, 17,200.26 and 7,159.08 is: 9,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.76 : 17,200.26 = 7,159.08 : x
  2. Step 2: Convert to fraction form
    12,464.76/17,200.26 = 7,159.08/x
  3. Step 3: Cross multiply
    12,464.76x = 17,200.26 × 7,159.08
  4. Step 4: Simplify right side
    12,464.76x = 123,138,037.36
  5. Step 5: Solve for x
    x = 123,138,037.36/12,464.76
  6. Step 6: Final answer
    x = 9,878.89

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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.