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Finding the Fourth Proportional to 6,106.06, 9,159.11 and 1,489.06

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Solution

The fourth proportional to 6,106.06, 9,159.11 and 1,489.06 is: 2,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.06 : 9,159.11 = 1,489.06 : x
  2. Step 2: Convert to fraction form
    6,106.06/9,159.11 = 1,489.06/x
  3. Step 3: Cross multiply
    6,106.06x = 9,159.11 × 1,489.06
  4. Step 4: Simplify right side
    6,106.06x = 13,638,411.10
  5. Step 5: Solve for x
    x = 13,638,411.10/6,106.06
  6. Step 6: Final answer
    x = 2,233.59

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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.