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Finding the Fourth Proportional to 9,810.11, 13,539.08 and 5,831.19

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Solution

The fourth proportional to 9,810.11, 13,539.08 and 5,831.19 is: 8,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.11 : 13,539.08 = 5,831.19 : x
  2. Step 2: Convert to fraction form
    9,810.11/13,539.08 = 5,831.19/x
  3. Step 3: Cross multiply
    9,810.11x = 13,539.08 × 5,831.19
  4. Step 4: Simplify right side
    9,810.11x = 78,948,947.91
  5. Step 5: Solve for x
    x = 78,948,947.91/9,810.11
  6. Step 6: Final answer
    x = 8,047.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.