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Finding the Fourth Proportional to 10,510.51, 15,739.83 and 6,114.64

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Solution

The fourth proportional to 10,510.51, 15,739.83 and 6,114.64 is: 9,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.51 : 15,739.83 = 6,114.64 : x
  2. Step 2: Convert to fraction form
    10,510.51/15,739.83 = 6,114.64/x
  3. Step 3: Cross multiply
    10,510.51x = 15,739.83 × 6,114.64
  4. Step 4: Simplify right side
    10,510.51x = 96,243,394.11
  5. Step 5: Solve for x
    x = 96,243,394.11/10,510.51
  6. Step 6: Final answer
    x = 9,156.87

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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.