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Finding the Fourth Proportional to 7,763.98, 10,714.04 and 4,407.10

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Solution

The fourth proportional to 7,763.98, 10,714.04 and 4,407.10 is: 6,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.98 : 10,714.04 = 4,407.10 : x
  2. Step 2: Convert to fraction form
    7,763.98/10,714.04 = 4,407.10/x
  3. Step 3: Cross multiply
    7,763.98x = 10,714.04 × 4,407.10
  4. Step 4: Simplify right side
    7,763.98x = 47,217,845.68
  5. Step 5: Solve for x
    x = 47,217,845.68/7,763.98
  6. Step 6: Final answer
    x = 6,081.65

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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.