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Finding the Fourth Proportional to 8,947.84, 12,348.80 and 5,223.04

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Solution

The fourth proportional to 8,947.84, 12,348.80 and 5,223.04 is: 7,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.84 : 12,348.80 = 5,223.04 : x
  2. Step 2: Convert to fraction form
    8,947.84/12,348.80 = 5,223.04/x
  3. Step 3: Cross multiply
    8,947.84x = 12,348.80 × 5,223.04
  4. Step 4: Simplify right side
    8,947.84x = 64,498,276.35
  5. Step 5: Solve for x
    x = 64,498,276.35/8,947.84
  6. Step 6: Final answer
    x = 7,208.25

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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.