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Finding the Fourth Proportional to 6,145.46, 8,470.40 and 4,966.10

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Solution

The fourth proportional to 6,145.46, 8,470.40 and 4,966.10 is: 6,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.46 : 8,470.40 = 4,966.10 : x
  2. Step 2: Convert to fraction form
    6,145.46/8,470.40 = 4,966.10/x
  3. Step 3: Cross multiply
    6,145.46x = 8,470.40 × 4,966.10
  4. Step 4: Simplify right side
    6,145.46x = 42,064,853.44
  5. Step 5: Solve for x
    x = 42,064,853.44/6,145.46
  6. Step 6: Final answer
    x = 6,844.87

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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.