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Finding the Fourth Proportional to 6,493, 8,957.64 and 4,252.08

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Solution

The fourth proportional to 6,493, 8,957.64 and 4,252.08 is: 5,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493 : 8,957.64 = 4,252.08 : x
  2. Step 2: Convert to fraction form
    6,493/8,957.64 = 4,252.08/x
  3. Step 3: Cross multiply
    6,493x = 8,957.64 × 4,252.08
  4. Step 4: Simplify right side
    6,493x = 38,088,601.89
  5. Step 5: Solve for x
    x = 38,088,601.89/6,493
  6. Step 6: Final answer
    x = 5,866.10

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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.