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Finding the Fourth Proportional to 7,522.60, 11,283.90 and 6,831.40

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Solution

The fourth proportional to 7,522.60, 11,283.90 and 6,831.40 is: 10,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.60 : 11,283.90 = 6,831.40 : x
  2. Step 2: Convert to fraction form
    7,522.60/11,283.90 = 6,831.40/x
  3. Step 3: Cross multiply
    7,522.60x = 11,283.90 × 6,831.40
  4. Step 4: Simplify right side
    7,522.60x = 77,084,834.46
  5. Step 5: Solve for x
    x = 77,084,834.46/7,522.60
  6. Step 6: Final answer
    x = 10,247.10

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1.5x scale

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.