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Finding the Fourth Proportional to 6,898.94, 10,347.95 and 1,704.81

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Solution

The fourth proportional to 6,898.94, 10,347.95 and 1,704.81 is: 2,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.94 : 10,347.95 = 1,704.81 : x
  2. Step 2: Convert to fraction form
    6,898.94/10,347.95 = 1,704.81/x
  3. Step 3: Cross multiply
    6,898.94x = 10,347.95 × 1,704.81
  4. Step 4: Simplify right side
    6,898.94x = 17,641,331.71
  5. Step 5: Solve for x
    x = 17,641,331.71/6,898.94
  6. Step 6: Final answer
    x = 2,557.11

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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.