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Finding the Fourth Proportional to 9,297.87, 13,948.86 and 3,057.63

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Solution

The fourth proportional to 9,297.87, 13,948.86 and 3,057.63 is: 4,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.87 : 13,948.86 = 3,057.63 : x
  2. Step 2: Convert to fraction form
    9,297.87/13,948.86 = 3,057.63/x
  3. Step 3: Cross multiply
    9,297.87x = 13,948.86 × 3,057.63
  4. Step 4: Simplify right side
    9,297.87x = 42,650,473.22
  5. Step 5: Solve for x
    x = 42,650,473.22/9,297.87
  6. Step 6: Final answer
    x = 4,587.12

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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.