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Finding the Fourth Proportional to 7,223.73, 9,968.31 and 4,240.10

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Solution

The fourth proportional to 7,223.73, 9,968.31 and 4,240.10 is: 5,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.73 : 9,968.31 = 4,240.10 : x
  2. Step 2: Convert to fraction form
    7,223.73/9,968.31 = 4,240.10/x
  3. Step 3: Cross multiply
    7,223.73x = 9,968.31 × 4,240.10
  4. Step 4: Simplify right side
    7,223.73x = 42,266,631.23
  5. Step 5: Solve for x
    x = 42,266,631.23/7,223.73
  6. Step 6: Final answer
    x = 5,851.08

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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.