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Finding the Fourth Proportional to 7,029.48, 9,700.80 and 3,885.60

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Solution

The fourth proportional to 7,029.48, 9,700.80 and 3,885.60 is: 5,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.48 : 9,700.80 = 3,885.60 : x
  2. Step 2: Convert to fraction form
    7,029.48/9,700.80 = 3,885.60/x
  3. Step 3: Cross multiply
    7,029.48x = 9,700.80 × 3,885.60
  4. Step 4: Simplify right side
    7,029.48x = 37,693,428.48
  5. Step 5: Solve for x
    x = 37,693,428.48/7,029.48
  6. Step 6: Final answer
    x = 5,362.19

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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.