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Finding the Fourth Proportional to 6,706.16, 10,059.75 and 1,775.67

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Solution

The fourth proportional to 6,706.16, 10,059.75 and 1,775.67 is: 2,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.16 : 10,059.75 = 1,775.67 : x
  2. Step 2: Convert to fraction form
    6,706.16/10,059.75 = 1,775.67/x
  3. Step 3: Cross multiply
    6,706.16x = 10,059.75 × 1,775.67
  4. Step 4: Simplify right side
    6,706.16x = 17,862,796.28
  5. Step 5: Solve for x
    x = 17,862,796.28/6,706.16
  6. Step 6: Final answer
    x = 2,663.64

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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.