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Finding the Fourth Proportional to 9,607.67, 13,259.46 and 5,831.81

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Solution

The fourth proportional to 9,607.67, 13,259.46 and 5,831.81 is: 8,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.67 : 13,259.46 = 5,831.81 : x
  2. Step 2: Convert to fraction form
    9,607.67/13,259.46 = 5,831.81/x
  3. Step 3: Cross multiply
    9,607.67x = 13,259.46 × 5,831.81
  4. Step 4: Simplify right side
    9,607.67x = 77,326,585.13
  5. Step 5: Solve for x
    x = 77,326,585.13/9,607.67
  6. Step 6: Final answer
    x = 8,048.42

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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.