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Finding the Fourth Proportional to 27,416.40, 41,124.51 and 8,948.40

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Solution

The fourth proportional to 27,416.40, 41,124.51 and 8,948.40 is: 13,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.40 : 41,124.51 = 8,948.40 : x
  2. Step 2: Convert to fraction form
    27,416.40/41,124.51 = 8,948.40/x
  3. Step 3: Cross multiply
    27,416.40x = 41,124.51 × 8,948.40
  4. Step 4: Simplify right side
    27,416.40x = 367,998,565.28
  5. Step 5: Solve for x
    x = 367,998,565.28/27,416.40
  6. Step 6: Final answer
    x = 13,422.57

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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.