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Finding the Fourth Proportional to 5,046.99, 7,570.53 and 1,760.08

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Solution

The fourth proportional to 5,046.99, 7,570.53 and 1,760.08 is: 2,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.99 : 7,570.53 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    5,046.99/7,570.53 = 1,760.08/x
  3. Step 3: Cross multiply
    5,046.99x = 7,570.53 × 1,760.08
  4. Step 4: Simplify right side
    5,046.99x = 13,324,733.71
  5. Step 5: Solve for x
    x = 13,324,733.71/5,046.99
  6. Step 6: Final answer
    x = 2,640.13

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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.