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Finding the Fourth Proportional to 6,854.85, 9,453.07 and 5,792.64

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Solution

The fourth proportional to 6,854.85, 9,453.07 and 5,792.64 is: 7,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.85 : 9,453.07 = 5,792.64 : x
  2. Step 2: Convert to fraction form
    6,854.85/9,453.07 = 5,792.64/x
  3. Step 3: Cross multiply
    6,854.85x = 9,453.07 × 5,792.64
  4. Step 4: Simplify right side
    6,854.85x = 54,758,203.20
  5. Step 5: Solve for x
    x = 54,758,203.20/6,854.85
  6. Step 6: Final answer
    x = 7,988.24

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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.