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Finding the Fourth Proportional to 5,505, 7,586.98 and 4,010.56

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Solution

The fourth proportional to 5,505, 7,586.98 and 4,010.56 is: 5,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505 : 7,586.98 = 4,010.56 : x
  2. Step 2: Convert to fraction form
    5,505/7,586.98 = 4,010.56/x
  3. Step 3: Cross multiply
    5,505x = 7,586.98 × 4,010.56
  4. Step 4: Simplify right side
    5,505x = 30,428,038.51
  5. Step 5: Solve for x
    x = 30,428,038.51/5,505
  6. Step 6: Final answer
    x = 5,527.35

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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.