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Finding the Fourth Proportional to 4,658.09, 6,986.95 and 1,580.09

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Solution

The fourth proportional to 4,658.09, 6,986.95 and 1,580.09 is: 2,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.09 : 6,986.95 = 1,580.09 : x
  2. Step 2: Convert to fraction form
    4,658.09/6,986.95 = 1,580.09/x
  3. Step 3: Cross multiply
    4,658.09x = 6,986.95 × 1,580.09
  4. Step 4: Simplify right side
    4,658.09x = 11,040,009.83
  5. Step 5: Solve for x
    x = 11,040,009.83/4,658.09
  6. Step 6: Final answer
    x = 2,370.07

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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.