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Finding the Fourth Proportional to 12,281.64, 16,947.72 and 6,903.78

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Solution

The fourth proportional to 12,281.64, 16,947.72 and 6,903.78 is: 9,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.64 : 16,947.72 = 6,903.78 : x
  2. Step 2: Convert to fraction form
    12,281.64/16,947.72 = 6,903.78/x
  3. Step 3: Cross multiply
    12,281.64x = 16,947.72 × 6,903.78
  4. Step 4: Simplify right side
    12,281.64x = 117,003,330.38
  5. Step 5: Solve for x
    x = 117,003,330.38/12,281.64
  6. Step 6: Final answer
    x = 9,526.69

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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.