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Finding the Fourth Proportional to 15,491.40, 21,378 and 8,417.76

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Solution

The fourth proportional to 15,491.40, 21,378 and 8,417.76 is: 11,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.40 : 21,378 = 8,417.76 : x
  2. Step 2: Convert to fraction form
    15,491.40/21,378 = 8,417.76/x
  3. Step 3: Cross multiply
    15,491.40x = 21,378 × 8,417.76
  4. Step 4: Simplify right side
    15,491.40x = 179,954,873.28
  5. Step 5: Solve for x
    x = 179,954,873.28/15,491.40
  6. Step 6: Final answer
    x = 11,616.44

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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.