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Finding the Fourth Proportional to 6,829.14, 9,415.72 and 5,695.31

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Solution

The fourth proportional to 6,829.14, 9,415.72 and 5,695.31 is: 7,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.14 : 9,415.72 = 5,695.31 : x
  2. Step 2: Convert to fraction form
    6,829.14/9,415.72 = 5,695.31/x
  3. Step 3: Cross multiply
    6,829.14x = 9,415.72 × 5,695.31
  4. Step 4: Simplify right side
    6,829.14x = 53,625,458.91
  5. Step 5: Solve for x
    x = 53,625,458.91/6,829.14
  6. Step 6: Final answer
    x = 7,852.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.