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Finding the Fourth Proportional to 27,284.40, 40,901.76 and 9,750.12

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Solution

The fourth proportional to 27,284.40, 40,901.76 and 9,750.12 is: 14,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.40 : 40,901.76 = 9,750.12 : x
  2. Step 2: Convert to fraction form
    27,284.40/40,901.76 = 9,750.12/x
  3. Step 3: Cross multiply
    27,284.40x = 40,901.76 × 9,750.12
  4. Step 4: Simplify right side
    27,284.40x = 398,797,068.21
  5. Step 5: Solve for x
    x = 398,797,068.21/27,284.40
  6. Step 6: Final answer
    x = 14,616.30

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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.