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Finding the Fourth Proportional to 12,242.76, 16,895.02 and 6,653.76

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Solution

The fourth proportional to 12,242.76, 16,895.02 and 6,653.76 is: 9,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.76 : 16,895.02 = 6,653.76 : x
  2. Step 2: Convert to fraction form
    12,242.76/16,895.02 = 6,653.76/x
  3. Step 3: Cross multiply
    12,242.76x = 16,895.02 × 6,653.76
  4. Step 4: Simplify right side
    12,242.76x = 112,415,408.28
  5. Step 5: Solve for x
    x = 112,415,408.28/12,242.76
  6. Step 6: Final answer
    x = 9,182.19

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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.