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Finding the Fourth Proportional to 6,913.62, 9,541 and 4,225.28

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Solution

The fourth proportional to 6,913.62, 9,541 and 4,225.28 is: 5,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.62 : 9,541 = 4,225.28 : x
  2. Step 2: Convert to fraction form
    6,913.62/9,541 = 4,225.28/x
  3. Step 3: Cross multiply
    6,913.62x = 9,541 × 4,225.28
  4. Step 4: Simplify right side
    6,913.62x = 40,313,396.48
  5. Step 5: Solve for x
    x = 40,313,396.48/6,913.62
  6. Step 6: Final answer
    x = 5,831.01

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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.