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Finding the Fourth Proportional to 4,714.51, 6,508.85 and 2,948.51

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Solution

The fourth proportional to 4,714.51, 6,508.85 and 2,948.51 is: 4,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.51 : 6,508.85 = 2,948.51 : x
  2. Step 2: Convert to fraction form
    4,714.51/6,508.85 = 2,948.51/x
  3. Step 3: Cross multiply
    4,714.51x = 6,508.85 × 2,948.51
  4. Step 4: Simplify right side
    4,714.51x = 19,191,409.31
  5. Step 5: Solve for x
    x = 19,191,409.31/4,714.51
  6. Step 6: Final answer
    x = 4,070.71

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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.