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Finding the Fourth Proportional to 6,494.93, 8,962.98 and 3,510.74

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Solution

The fourth proportional to 6,494.93, 8,962.98 and 3,510.74 is: 4,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.93 : 8,962.98 = 3,510.74 : x
  2. Step 2: Convert to fraction form
    6,494.93/8,962.98 = 3,510.74/x
  3. Step 3: Cross multiply
    6,494.93x = 8,962.98 × 3,510.74
  4. Step 4: Simplify right side
    6,494.93x = 31,466,711.52
  5. Step 5: Solve for x
    x = 31,466,711.52/6,494.93
  6. Step 6: Final answer
    x = 4,844.81

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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.