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Finding the Fourth Proportional to 9,967.35, 14,952.40 and 2,947.92

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Solution

The fourth proportional to 9,967.35, 14,952.40 and 2,947.92 is: 4,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.35 : 14,952.40 = 2,947.92 : x
  2. Step 2: Convert to fraction form
    9,967.35/14,952.40 = 2,947.92/x
  3. Step 3: Cross multiply
    9,967.35x = 14,952.40 × 2,947.92
  4. Step 4: Simplify right side
    9,967.35x = 44,078,457.62
  5. Step 5: Solve for x
    x = 44,078,457.62/9,967.35
  6. Step 6: Final answer
    x = 4,422.28

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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.