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Finding the Fourth Proportional to 13,710.30, 20,565.45 and 9,968.10

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Solution

The fourth proportional to 13,710.30, 20,565.45 and 9,968.10 is: 14,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.30 : 20,565.45 = 9,968.10 : x
  2. Step 2: Convert to fraction form
    13,710.30/20,565.45 = 9,968.10/x
  3. Step 3: Cross multiply
    13,710.30x = 20,565.45 × 9,968.10
  4. Step 4: Simplify right side
    13,710.30x = 204,998,462.15
  5. Step 5: Solve for x
    x = 204,998,462.15/13,710.30
  6. Step 6: Final answer
    x = 14,952.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.