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Finding the Fourth Proportional to 9,967.46, 14,951.18 and 2,947.57

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Solution

The fourth proportional to 9,967.46, 14,951.18 and 2,947.57 is: 4,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.46 : 14,951.18 = 2,947.57 : x
  2. Step 2: Convert to fraction form
    9,967.46/14,951.18 = 2,947.57/x
  3. Step 3: Cross multiply
    9,967.46x = 14,951.18 × 2,947.57
  4. Step 4: Simplify right side
    9,967.46x = 44,069,649.63
  5. Step 5: Solve for x
    x = 44,069,649.63/9,967.46
  6. Step 6: Final answer
    x = 4,421.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.