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Finding the Fourth Proportional to 6,494.16, 8,962.76 and 5,941.20

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Solution

The fourth proportional to 6,494.16, 8,962.76 and 5,941.20 is: 8,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.16 : 8,962.76 = 5,941.20 : x
  2. Step 2: Convert to fraction form
    6,494.16/8,962.76 = 5,941.20/x
  3. Step 3: Cross multiply
    6,494.16x = 8,962.76 × 5,941.20
  4. Step 4: Simplify right side
    6,494.16x = 53,249,549.71
  5. Step 5: Solve for x
    x = 53,249,549.71/6,494.16
  6. Step 6: Final answer
    x = 8,199.61

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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.