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Finding the Fourth Proportional to 5,894.14, 8,841.53 and 1,511.64

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Solution

The fourth proportional to 5,894.14, 8,841.53 and 1,511.64 is: 2,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.14 : 8,841.53 = 1,511.64 : x
  2. Step 2: Convert to fraction form
    5,894.14/8,841.53 = 1,511.64/x
  3. Step 3: Cross multiply
    5,894.14x = 8,841.53 × 1,511.64
  4. Step 4: Simplify right side
    5,894.14x = 13,365,210.41
  5. Step 5: Solve for x
    x = 13,365,210.41/5,894.14
  6. Step 6: Final answer
    x = 2,267.54

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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.