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Finding the Fourth Proportional to 7,714.86, 10,646.94 and 4,358.76

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Solution

The fourth proportional to 7,714.86, 10,646.94 and 4,358.76 is: 6,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.86 : 10,646.94 = 4,358.76 : x
  2. Step 2: Convert to fraction form
    7,714.86/10,646.94 = 4,358.76/x
  3. Step 3: Cross multiply
    7,714.86x = 10,646.94 × 4,358.76
  4. Step 4: Simplify right side
    7,714.86x = 46,407,456.19
  5. Step 5: Solve for x
    x = 46,407,456.19/7,714.86
  6. Step 6: Final answer
    x = 6,015.33

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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.