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Finding the Fourth Proportional to 7,444.68, 10,273.98 and 4,461

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Solution

The fourth proportional to 7,444.68, 10,273.98 and 4,461 is: 6,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.68 : 10,273.98 = 4,461 : x
  2. Step 2: Convert to fraction form
    7,444.68/10,273.98 = 4,461/x
  3. Step 3: Cross multiply
    7,444.68x = 10,273.98 × 4,461
  4. Step 4: Simplify right side
    7,444.68x = 45,832,224.78
  5. Step 5: Solve for x
    x = 45,832,224.78/7,444.68
  6. Step 6: Final answer
    x = 6,156.37

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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.