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Finding the Fourth Proportional to 15,046.50, 22,570.95 and 4,658.22

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Solution

The fourth proportional to 15,046.50, 22,570.95 and 4,658.22 is: 6,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.50 : 22,570.95 = 4,658.22 : x
  2. Step 2: Convert to fraction form
    15,046.50/22,570.95 = 4,658.22/x
  3. Step 3: Cross multiply
    15,046.50x = 22,570.95 × 4,658.22
  4. Step 4: Simplify right side
    15,046.50x = 105,140,450.71
  5. Step 5: Solve for x
    x = 105,140,450.71/15,046.50
  6. Step 6: Final answer
    x = 6,987.70

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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.