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Finding the Fourth Proportional to 9,810.81, 14,724.11 and 4,551.68

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Solution

The fourth proportional to 9,810.81, 14,724.11 and 4,551.68 is: 6,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.81 : 14,724.11 = 4,551.68 : x
  2. Step 2: Convert to fraction form
    9,810.81/14,724.11 = 4,551.68/x
  3. Step 3: Cross multiply
    9,810.81x = 14,724.11 × 4,551.68
  4. Step 4: Simplify right side
    9,810.81x = 67,019,340.63
  5. Step 5: Solve for x
    x = 67,019,340.63/9,810.81
  6. Step 6: Final answer
    x = 6,831.17

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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.