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Finding the Fourth Proportional to 8,009.55, 12,014.32 and 5,832.13

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Solution

The fourth proportional to 8,009.55, 12,014.32 and 5,832.13 is: 8,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.55 : 12,014.32 = 5,832.13 : x
  2. Step 2: Convert to fraction form
    8,009.55/12,014.32 = 5,832.13/x
  3. Step 3: Cross multiply
    8,009.55x = 12,014.32 × 5,832.13
  4. Step 4: Simplify right side
    8,009.55x = 70,069,076.10
  5. Step 5: Solve for x
    x = 70,069,076.10/8,009.55
  6. Step 6: Final answer
    x = 8,748.19

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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.