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Finding the Fourth Proportional to 6,465.34, 9,695.58 and 5,094.82

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Solution

The fourth proportional to 6,465.34, 9,695.58 and 5,094.82 is: 7,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.34 : 9,695.58 = 5,094.82 : x
  2. Step 2: Convert to fraction form
    6,465.34/9,695.58 = 5,094.82/x
  3. Step 3: Cross multiply
    6,465.34x = 9,695.58 × 5,094.82
  4. Step 4: Simplify right side
    6,465.34x = 49,397,234.90
  5. Step 5: Solve for x
    x = 49,397,234.90/6,465.34
  6. Step 6: Final answer
    x = 7,640.32

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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.