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Finding the Fourth Proportional to 4,714.79, 6,507.47 and 2,922.80

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Solution

The fourth proportional to 4,714.79, 6,507.47 and 2,922.80 is: 4,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.79 : 6,507.47 = 2,922.80 : x
  2. Step 2: Convert to fraction form
    4,714.79/6,507.47 = 2,922.80/x
  3. Step 3: Cross multiply
    4,714.79x = 6,507.47 × 2,922.80
  4. Step 4: Simplify right side
    4,714.79x = 19,020,008.09
  5. Step 5: Solve for x
    x = 19,020,008.09/4,714.79
  6. Step 6: Final answer
    x = 4,034.12

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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.