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Finding the Fourth Proportional to 4,142.70, 6,214.14 and 1,064.70

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Solution

The fourth proportional to 4,142.70, 6,214.14 and 1,064.70 is: 1,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.70 : 6,214.14 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    4,142.70/6,214.14 = 1,064.70/x
  3. Step 3: Cross multiply
    4,142.70x = 6,214.14 × 1,064.70
  4. Step 4: Simplify right side
    4,142.70x = 6,616,194.86
  5. Step 5: Solve for x
    x = 6,616,194.86/4,142.70
  6. Step 6: Final answer
    x = 1,597.07

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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.