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Finding the Fourth Proportional to 6,953.66, 10,430.51 and 2,023.42

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Solution

The fourth proportional to 6,953.66, 10,430.51 and 2,023.42 is: 3,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.66 : 10,430.51 = 2,023.42 : x
  2. Step 2: Convert to fraction form
    6,953.66/10,430.51 = 2,023.42/x
  3. Step 3: Cross multiply
    6,953.66x = 10,430.51 × 2,023.42
  4. Step 4: Simplify right side
    6,953.66x = 21,105,279.78
  5. Step 5: Solve for x
    x = 21,105,279.78/6,953.66
  6. Step 6: Final answer
    x = 3,035.13

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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.