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Finding the Fourth Proportional to 9,690.64, 14,528.92 and 7,348.24

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Solution

The fourth proportional to 9,690.64, 14,528.92 and 7,348.24 is: 11,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.64 : 14,528.92 = 7,348.24 : x
  2. Step 2: Convert to fraction form
    9,690.64/14,528.92 = 7,348.24/x
  3. Step 3: Cross multiply
    9,690.64x = 14,528.92 × 7,348.24
  4. Step 4: Simplify right side
    9,690.64x = 106,761,991.10
  5. Step 5: Solve for x
    x = 106,761,991.10/9,690.64
  6. Step 6: Final answer
    x = 11,017.02

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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.