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Finding the Fourth Proportional to 7,602.30, 10,482.92 and 4,944.78

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Solution

The fourth proportional to 7,602.30, 10,482.92 and 4,944.78 is: 6,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.30 : 10,482.92 = 4,944.78 : x
  2. Step 2: Convert to fraction form
    7,602.30/10,482.92 = 4,944.78/x
  3. Step 3: Cross multiply
    7,602.30x = 10,482.92 × 4,944.78
  4. Step 4: Simplify right side
    7,602.30x = 51,835,733.16
  5. Step 5: Solve for x
    x = 51,835,733.16/7,602.30
  6. Step 6: Final answer
    x = 6,818.43

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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.