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Finding the Fourth Proportional to 12,428.75, 17,146 and 7,390.10

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Solution

The fourth proportional to 12,428.75, 17,146 and 7,390.10 is: 10,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.75 : 17,146 = 7,390.10 : x
  2. Step 2: Convert to fraction form
    12,428.75/17,146 = 7,390.10/x
  3. Step 3: Cross multiply
    12,428.75x = 17,146 × 7,390.10
  4. Step 4: Simplify right side
    12,428.75x = 126,710,654.60
  5. Step 5: Solve for x
    x = 126,710,654.60/12,428.75
  6. Step 6: Final answer
    x = 10,194.96

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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.