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Finding the Fourth Proportional to 5,185.74, 7,780.13 and 1,675.67

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Solution

The fourth proportional to 5,185.74, 7,780.13 and 1,675.67 is: 2,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.74 : 7,780.13 = 1,675.67 : x
  2. Step 2: Convert to fraction form
    5,185.74/7,780.13 = 1,675.67/x
  3. Step 3: Cross multiply
    5,185.74x = 7,780.13 × 1,675.67
  4. Step 4: Simplify right side
    5,185.74x = 13,036,883.16
  5. Step 5: Solve for x
    x = 13,036,883.16/5,185.74
  6. Step 6: Final answer
    x = 2,513.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.