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Finding the Fourth Proportional to 6,985.70, 9,640.30 and 3,842.08

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Solution

The fourth proportional to 6,985.70, 9,640.30 and 3,842.08 is: 5,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.70 : 9,640.30 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    6,985.70/9,640.30 = 3,842.08/x
  3. Step 3: Cross multiply
    6,985.70x = 9,640.30 × 3,842.08
  4. Step 4: Simplify right side
    6,985.70x = 37,038,803.82
  5. Step 5: Solve for x
    x = 37,038,803.82/6,985.70
  6. Step 6: Final answer
    x = 5,302.09

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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.