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Finding the Fourth Proportional to 11,796.15, 16,281.90 and 7,017.90

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Solution

The fourth proportional to 11,796.15, 16,281.90 and 7,017.90 is: 9,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.15 : 16,281.90 = 7,017.90 : x
  2. Step 2: Convert to fraction form
    11,796.15/16,281.90 = 7,017.90/x
  3. Step 3: Cross multiply
    11,796.15x = 16,281.90 × 7,017.90
  4. Step 4: Simplify right side
    11,796.15x = 114,264,746.01
  5. Step 5: Solve for x
    x = 114,264,746.01/11,796.15
  6. Step 6: Final answer
    x = 9,686.61

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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.