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Finding the Fourth Proportional to 9,695.56, 14,521.47 and 4,490.50

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Solution

The fourth proportional to 9,695.56, 14,521.47 and 4,490.50 is: 6,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.56 : 14,521.47 = 4,490.50 : x
  2. Step 2: Convert to fraction form
    9,695.56/14,521.47 = 4,490.50/x
  3. Step 3: Cross multiply
    9,695.56x = 14,521.47 × 4,490.50
  4. Step 4: Simplify right side
    9,695.56x = 65,208,661.04
  5. Step 5: Solve for x
    x = 65,208,661.04/9,695.56
  6. Step 6: Final answer
    x = 6,725.62

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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.