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Finding the Fourth Proportional to 6,831.42, 9,359.07 and 6,575.45

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Solution

The fourth proportional to 6,831.42, 9,359.07 and 6,575.45 is: 9,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.42 : 9,359.07 = 6,575.45 : x
  2. Step 2: Convert to fraction form
    6,831.42/9,359.07 = 6,575.45/x
  3. Step 3: Cross multiply
    6,831.42x = 9,359.07 × 6,575.45
  4. Step 4: Simplify right side
    6,831.42x = 61,540,113.27
  5. Step 5: Solve for x
    x = 61,540,113.27/6,831.42
  6. Step 6: Final answer
    x = 9,008.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.