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Finding the Fourth Proportional to 11,903.64, 16,427.78 and 6,868.78

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Solution

The fourth proportional to 11,903.64, 16,427.78 and 6,868.78 is: 9,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.64 : 16,427.78 = 6,868.78 : x
  2. Step 2: Convert to fraction form
    11,903.64/16,427.78 = 6,868.78/x
  3. Step 3: Cross multiply
    11,903.64x = 16,427.78 × 6,868.78
  4. Step 4: Simplify right side
    11,903.64x = 112,838,806.71
  5. Step 5: Solve for x
    x = 112,838,806.71/11,903.64
  6. Step 6: Final answer
    x = 9,479.35

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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.