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Finding the Fourth Proportional to 6,448.70, 9,666.30 and 2,702.62

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Solution

The fourth proportional to 6,448.70, 9,666.30 and 2,702.62 is: 4,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.70 : 9,666.30 = 2,702.62 : x
  2. Step 2: Convert to fraction form
    6,448.70/9,666.30 = 2,702.62/x
  3. Step 3: Cross multiply
    6,448.70x = 9,666.30 × 2,702.62
  4. Step 4: Simplify right side
    6,448.70x = 26,124,335.71
  5. Step 5: Solve for x
    x = 26,124,335.71/6,448.70
  6. Step 6: Final answer
    x = 4,051.10

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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.