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Finding the Fourth Proportional to 6,560.51, 9,831.98 and 3,594.49

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Solution

The fourth proportional to 6,560.51, 9,831.98 and 3,594.49 is: 5,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.51 : 9,831.98 = 3,594.49 : x
  2. Step 2: Convert to fraction form
    6,560.51/9,831.98 = 3,594.49/x
  3. Step 3: Cross multiply
    6,560.51x = 9,831.98 × 3,594.49
  4. Step 4: Simplify right side
    6,560.51x = 35,340,993.50
  5. Step 5: Solve for x
    x = 35,340,993.50/6,560.51
  6. Step 6: Final answer
    x = 5,386.93

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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.