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Finding the Fourth Proportional to 9,051.70, 13,573.70 and 4,124.47

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Solution

The fourth proportional to 9,051.70, 13,573.70 and 4,124.47 is: 6,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.70 : 13,573.70 = 4,124.47 : x
  2. Step 2: Convert to fraction form
    9,051.70/13,573.70 = 4,124.47/x
  3. Step 3: Cross multiply
    9,051.70x = 13,573.70 × 4,124.47
  4. Step 4: Simplify right side
    9,051.70x = 55,984,345.72
  5. Step 5: Solve for x
    x = 55,984,345.72/9,051.70
  6. Step 6: Final answer
    x = 6,184.95

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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.