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Finding the Fourth Proportional to 8,993.18, 12,410.31 and 5,014.06

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Solution

The fourth proportional to 8,993.18, 12,410.31 and 5,014.06 is: 6,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.18 : 12,410.31 = 5,014.06 : x
  2. Step 2: Convert to fraction form
    8,993.18/12,410.31 = 5,014.06/x
  3. Step 3: Cross multiply
    8,993.18x = 12,410.31 × 5,014.06
  4. Step 4: Simplify right side
    8,993.18x = 62,226,038.96
  5. Step 5: Solve for x
    x = 62,226,038.96/8,993.18
  6. Step 6: Final answer
    x = 6,919.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.