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Finding the Fourth Proportional to 11,648.88, 16,074.95 and 6,343.68

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Solution

The fourth proportional to 11,648.88, 16,074.95 and 6,343.68 is: 8,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 16,074.95 = 6,343.68 : x
  2. Step 2: Convert to fraction form
    11,648.88/16,074.95 = 6,343.68/x
  3. Step 3: Cross multiply
    11,648.88x = 16,074.95 × 6,343.68
  4. Step 4: Simplify right side
    11,648.88x = 101,974,307.10
  5. Step 5: Solve for x
    x = 101,974,307.10/11,648.88
  6. Step 6: Final answer
    x = 8,754.00

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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.