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Finding the Fourth Proportional to 9,806.70, 14,714.15 and 4,264.71

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Solution

The fourth proportional to 9,806.70, 14,714.15 and 4,264.71 is: 6,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.70 : 14,714.15 = 4,264.71 : x
  2. Step 2: Convert to fraction form
    9,806.70/14,714.15 = 4,264.71/x
  3. Step 3: Cross multiply
    9,806.70x = 14,714.15 × 4,264.71
  4. Step 4: Simplify right side
    9,806.70x = 62,751,509.08
  5. Step 5: Solve for x
    x = 62,751,509.08/9,806.70
  6. Step 6: Final answer
    x = 6,398.84

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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.