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Finding the Fourth Proportional to 15,046, 22,570.20 and 4,657.72

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Solution

The fourth proportional to 15,046, 22,570.20 and 4,657.72 is: 6,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046 : 22,570.20 = 4,657.72 : x
  2. Step 2: Convert to fraction form
    15,046/22,570.20 = 4,657.72/x
  3. Step 3: Cross multiply
    15,046x = 22,570.20 × 4,657.72
  4. Step 4: Simplify right side
    15,046x = 105,125,671.94
  5. Step 5: Solve for x
    x = 105,125,671.94/15,046
  6. Step 6: Final answer
    x = 6,986.95

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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.