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Finding the Fourth Proportional to 4,714.48, 7,071.74 and 1,594.51

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Solution

The fourth proportional to 4,714.48, 7,071.74 and 1,594.51 is: 2,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.48 : 7,071.74 = 1,594.51 : x
  2. Step 2: Convert to fraction form
    4,714.48/7,071.74 = 1,594.51/x
  3. Step 3: Cross multiply
    4,714.48x = 7,071.74 × 1,594.51
  4. Step 4: Simplify right side
    4,714.48x = 11,275,924.79
  5. Step 5: Solve for x
    x = 11,275,924.79/4,714.48
  6. Step 6: Final answer
    x = 2,391.76

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.