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Finding the Fourth Proportional to 9,830.16, 14,754.50 and 6,545.55

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Solution

The fourth proportional to 9,830.16, 14,754.50 and 6,545.55 is: 9,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.16 : 14,754.50 = 6,545.55 : x
  2. Step 2: Convert to fraction form
    9,830.16/14,754.50 = 6,545.55/x
  3. Step 3: Cross multiply
    9,830.16x = 14,754.50 × 6,545.55
  4. Step 4: Simplify right side
    9,830.16x = 96,576,260.07
  5. Step 5: Solve for x
    x = 96,576,260.07/9,830.16
  6. Step 6: Final answer
    x = 9,824.48

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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.