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Finding the Fourth Proportional to 4,309.58, 6,465.10 and 1,714.70

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Solution

The fourth proportional to 4,309.58, 6,465.10 and 1,714.70 is: 2,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.58 : 6,465.10 = 1,714.70 : x
  2. Step 2: Convert to fraction form
    4,309.58/6,465.10 = 1,714.70/x
  3. Step 3: Cross multiply
    4,309.58x = 6,465.10 × 1,714.70
  4. Step 4: Simplify right side
    4,309.58x = 11,085,706.97
  5. Step 5: Solve for x
    x = 11,085,706.97/4,309.58
  6. Step 6: Final answer
    x = 2,572.34

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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.