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Finding the Fourth Proportional to 6,705.72, 10,059.12 and 2,088.72

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Solution

The fourth proportional to 6,705.72, 10,059.12 and 2,088.72 is: 3,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.72 : 10,059.12 = 2,088.72 : x
  2. Step 2: Convert to fraction form
    6,705.72/10,059.12 = 2,088.72/x
  3. Step 3: Cross multiply
    6,705.72x = 10,059.12 × 2,088.72
  4. Step 4: Simplify right side
    6,705.72x = 21,010,685.13
  5. Step 5: Solve for x
    x = 21,010,685.13/6,705.72
  6. Step 6: Final answer
    x = 3,133.25

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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.