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Finding the Fourth Proportional to 12,483, 17,226.60 and 7,178.13

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Solution

The fourth proportional to 12,483, 17,226.60 and 7,178.13 is: 9,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483 : 17,226.60 = 7,178.13 : x
  2. Step 2: Convert to fraction form
    12,483/17,226.60 = 7,178.13/x
  3. Step 3: Cross multiply
    12,483x = 17,226.60 × 7,178.13
  4. Step 4: Simplify right side
    12,483x = 123,654,774.26
  5. Step 5: Solve for x
    x = 123,654,774.26/12,483
  6. Step 6: Final answer
    x = 9,905.85

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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.