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Finding the Fourth Proportional to 6,953, 9,595.14 and 4,159.16

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Solution

The fourth proportional to 6,953, 9,595.14 and 4,159.16 is: 5,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953 : 9,595.14 = 4,159.16 : x
  2. Step 2: Convert to fraction form
    6,953/9,595.14 = 4,159.16/x
  3. Step 3: Cross multiply
    6,953x = 9,595.14 × 4,159.16
  4. Step 4: Simplify right side
    6,953x = 39,907,722.48
  5. Step 5: Solve for x
    x = 39,907,722.48/6,953
  6. Step 6: Final answer
    x = 5,739.64

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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.