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Finding the Fourth Proportional to 6,695.29, 10,042.16 and 1,697.63

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Solution

The fourth proportional to 6,695.29, 10,042.16 and 1,697.63 is: 2,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.29 : 10,042.16 = 1,697.63 : x
  2. Step 2: Convert to fraction form
    6,695.29/10,042.16 = 1,697.63/x
  3. Step 3: Cross multiply
    6,695.29x = 10,042.16 × 1,697.63
  4. Step 4: Simplify right side
    6,695.29x = 17,047,901.43
  5. Step 5: Solve for x
    x = 17,047,901.43/6,695.29
  6. Step 6: Final answer
    x = 2,546.25

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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.