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Finding the Fourth Proportional to 12,251.64, 16,907.28 and 6,947.46

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Solution

The fourth proportional to 12,251.64, 16,907.28 and 6,947.46 is: 9,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.64 : 16,907.28 = 6,947.46 : x
  2. Step 2: Convert to fraction form
    12,251.64/16,907.28 = 6,947.46/x
  3. Step 3: Cross multiply
    12,251.64x = 16,907.28 × 6,947.46
  4. Step 4: Simplify right side
    12,251.64x = 117,462,651.51
  5. Step 5: Solve for x
    x = 117,462,651.51/12,251.64
  6. Step 6: Final answer
    x = 9,587.50

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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.