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Finding the Fourth Proportional to 4,705.71, 7,053.58 and 1,742.24

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Solution

The fourth proportional to 4,705.71, 7,053.58 and 1,742.24 is: 2,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.71 : 7,053.58 = 1,742.24 : x
  2. Step 2: Convert to fraction form
    4,705.71/7,053.58 = 1,742.24/x
  3. Step 3: Cross multiply
    4,705.71x = 7,053.58 × 1,742.24
  4. Step 4: Simplify right side
    4,705.71x = 12,289,029.22
  5. Step 5: Solve for x
    x = 12,289,029.22/4,705.71
  6. Step 6: Final answer
    x = 2,611.52

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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.