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Finding the Fourth Proportional to 9,866.01, 14,799.08 and 2,470.50

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Solution

The fourth proportional to 9,866.01, 14,799.08 and 2,470.50 is: 3,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.01 : 14,799.08 = 2,470.50 : x
  2. Step 2: Convert to fraction form
    9,866.01/14,799.08 = 2,470.50/x
  3. Step 3: Cross multiply
    9,866.01x = 14,799.08 × 2,470.50
  4. Step 4: Simplify right side
    9,866.01x = 36,561,127.14
  5. Step 5: Solve for x
    x = 36,561,127.14/9,866.01
  6. Step 6: Final answer
    x = 3,705.77

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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.