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Finding the Fourth Proportional to 12,655.78, 17,464.95 and 7,066.78

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Solution

The fourth proportional to 12,655.78, 17,464.95 and 7,066.78 is: 9,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.78 : 17,464.95 = 7,066.78 : x
  2. Step 2: Convert to fraction form
    12,655.78/17,464.95 = 7,066.78/x
  3. Step 3: Cross multiply
    12,655.78x = 17,464.95 × 7,066.78
  4. Step 4: Simplify right side
    12,655.78x = 123,420,959.36
  5. Step 5: Solve for x
    x = 123,420,959.36/12,655.78
  6. Step 6: Final answer
    x = 9,752.14

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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.