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Finding the Fourth Proportional to 6,458.34, 8,912.16 and 3,586.88

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Solution

The fourth proportional to 6,458.34, 8,912.16 and 3,586.88 is: 4,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.34 : 8,912.16 = 3,586.88 : x
  2. Step 2: Convert to fraction form
    6,458.34/8,912.16 = 3,586.88/x
  3. Step 3: Cross multiply
    6,458.34x = 8,912.16 × 3,586.88
  4. Step 4: Simplify right side
    6,458.34x = 31,966,848.46
  5. Step 5: Solve for x
    x = 31,966,848.46/6,458.34
  6. Step 6: Final answer
    x = 4,949.70

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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.