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Finding the Fourth Proportional to 7,714.62, 10,646.16 and 4,177.83

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Solution

The fourth proportional to 7,714.62, 10,646.16 and 4,177.83 is: 5,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.62 : 10,646.16 = 4,177.83 : x
  2. Step 2: Convert to fraction form
    7,714.62/10,646.16 = 4,177.83/x
  3. Step 3: Cross multiply
    7,714.62x = 10,646.16 × 4,177.83
  4. Step 4: Simplify right side
    7,714.62x = 44,477,846.63
  5. Step 5: Solve for x
    x = 44,477,846.63/7,714.62
  6. Step 6: Final answer
    x = 5,765.40

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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.