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Finding the Fourth Proportional to 4,843.32, 7,254.09 and 4,210.47

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Solution

The fourth proportional to 4,843.32, 7,254.09 and 4,210.47 is: 6,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.32 : 7,254.09 = 4,210.47 : x
  2. Step 2: Convert to fraction form
    4,843.32/7,254.09 = 4,210.47/x
  3. Step 3: Cross multiply
    4,843.32x = 7,254.09 × 4,210.47
  4. Step 4: Simplify right side
    4,843.32x = 30,543,128.32
  5. Step 5: Solve for x
    x = 30,543,128.32/4,843.32
  6. Step 6: Final answer
    x = 6,306.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.