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Finding the Fourth Proportional to 9,097.59, 13,594.58 and 6,831.34

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Solution

The fourth proportional to 9,097.59, 13,594.58 and 6,831.34 is: 10,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.59 : 13,594.58 = 6,831.34 : x
  2. Step 2: Convert to fraction form
    9,097.59/13,594.58 = 6,831.34/x
  3. Step 3: Cross multiply
    9,097.59x = 13,594.58 × 6,831.34
  4. Step 4: Simplify right side
    9,097.59x = 92,869,198.14
  5. Step 5: Solve for x
    x = 92,869,198.14/9,097.59
  6. Step 6: Final answer
    x = 10,208.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.