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Finding the Fourth Proportional to 7,036.74, 9,710.96 and 3,850.24

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Solution

The fourth proportional to 7,036.74, 9,710.96 and 3,850.24 is: 5,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.74 : 9,710.96 = 3,850.24 : x
  2. Step 2: Convert to fraction form
    7,036.74/9,710.96 = 3,850.24/x
  3. Step 3: Cross multiply
    7,036.74x = 9,710.96 × 3,850.24
  4. Step 4: Simplify right side
    7,036.74x = 37,389,526.63
  5. Step 5: Solve for x
    x = 37,389,526.63/7,036.74
  6. Step 6: Final answer
    x = 5,313.47

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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.