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Finding the Fourth Proportional to 6,898.56, 10,347.84 and 1,704.32

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Solution

The fourth proportional to 6,898.56, 10,347.84 and 1,704.32 is: 2,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.56 : 10,347.84 = 1,704.32 : x
  2. Step 2: Convert to fraction form
    6,898.56/10,347.84 = 1,704.32/x
  3. Step 3: Cross multiply
    6,898.56x = 10,347.84 × 1,704.32
  4. Step 4: Simplify right side
    6,898.56x = 17,636,030.67
  5. Step 5: Solve for x
    x = 17,636,030.67/6,898.56
  6. Step 6: Final answer
    x = 2,556.48

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1.5x scale

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.