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Finding the Fourth Proportional to 11,130, 16,695.51 and 6,195.93

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Solution

The fourth proportional to 11,130, 16,695.51 and 6,195.93 is: 9,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130 : 16,695.51 = 6,195.93 : x
  2. Step 2: Convert to fraction form
    11,130/16,695.51 = 6,195.93/x
  3. Step 3: Cross multiply
    11,130x = 16,695.51 × 6,195.93
  4. Step 4: Simplify right side
    11,130x = 103,444,211.27
  5. Step 5: Solve for x
    x = 103,444,211.27/11,130
  6. Step 6: Final answer
    x = 9,294.18

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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.