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Finding the Fourth Proportional to 4,536.86, 6,805.35 and 1,416.74

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Solution

The fourth proportional to 4,536.86, 6,805.35 and 1,416.74 is: 2,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.86 : 6,805.35 = 1,416.74 : x
  2. Step 2: Convert to fraction form
    4,536.86/6,805.35 = 1,416.74/x
  3. Step 3: Cross multiply
    4,536.86x = 6,805.35 × 1,416.74
  4. Step 4: Simplify right side
    4,536.86x = 9,641,377.53
  5. Step 5: Solve for x
    x = 9,641,377.53/4,536.86
  6. Step 6: Final answer
    x = 2,125.12

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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.