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Finding the Fourth Proportional to 7,233, 9,980.76 and 4,045.97

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Solution

The fourth proportional to 7,233, 9,980.76 and 4,045.97 is: 5,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233 : 9,980.76 = 4,045.97 : x
  2. Step 2: Convert to fraction form
    7,233/9,980.76 = 4,045.97/x
  3. Step 3: Cross multiply
    7,233x = 9,980.76 × 4,045.97
  4. Step 4: Simplify right side
    7,233x = 40,381,805.63
  5. Step 5: Solve for x
    x = 40,381,805.63/7,233
  6. Step 6: Final answer
    x = 5,583.00

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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.