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Finding the Fourth Proportional to 9,695.06, 14,520.72 and 4,490

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Solution

The fourth proportional to 9,695.06, 14,520.72 and 4,490 is: 6,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.06 : 14,520.72 = 4,490 : x
  2. Step 2: Convert to fraction form
    9,695.06/14,520.72 = 4,490/x
  3. Step 3: Cross multiply
    9,695.06x = 14,520.72 × 4,490
  4. Step 4: Simplify right side
    9,695.06x = 65,198,032.80
  5. Step 5: Solve for x
    x = 65,198,032.80/9,695.06
  6. Step 6: Final answer
    x = 6,724.87

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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.