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Finding the Fourth Proportional to 7,029.23, 9,700.04 and 3,842.47

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Solution

The fourth proportional to 7,029.23, 9,700.04 and 3,842.47 is: 5,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.23 : 9,700.04 = 3,842.47 : x
  2. Step 2: Convert to fraction form
    7,029.23/9,700.04 = 3,842.47/x
  3. Step 3: Cross multiply
    7,029.23x = 9,700.04 × 3,842.47
  4. Step 4: Simplify right side
    7,029.23x = 37,272,044.99
  5. Step 5: Solve for x
    x = 37,272,044.99/7,029.23
  6. Step 6: Final answer
    x = 5,302.44

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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.