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Finding the Fourth Proportional to 6,998.30, 9,656.93 and 4,309.08

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Solution

The fourth proportional to 6,998.30, 9,656.93 and 4,309.08 is: 5,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.30 : 9,656.93 = 4,309.08 : x
  2. Step 2: Convert to fraction form
    6,998.30/9,656.93 = 4,309.08/x
  3. Step 3: Cross multiply
    6,998.30x = 9,656.93 × 4,309.08
  4. Step 4: Simplify right side
    6,998.30x = 41,612,462.38
  5. Step 5: Solve for x
    x = 41,612,462.38/6,998.30
  6. Step 6: Final answer
    x = 5,946.09

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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.