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Finding the Fourth Proportional to 7,714.82, 10,646.40 and 4,357.68

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Solution

The fourth proportional to 7,714.82, 10,646.40 and 4,357.68 is: 6,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.82 : 10,646.40 = 4,357.68 : x
  2. Step 2: Convert to fraction form
    7,714.82/10,646.40 = 4,357.68/x
  3. Step 3: Cross multiply
    7,714.82x = 10,646.40 × 4,357.68
  4. Step 4: Simplify right side
    7,714.82x = 46,393,604.35
  5. Step 5: Solve for x
    x = 46,393,604.35/7,714.82
  6. Step 6: Final answer
    x = 6,013.57

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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.