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Finding the Fourth Proportional to 7,057.43, 9,746.21 and 5,562.98

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Solution

The fourth proportional to 7,057.43, 9,746.21 and 5,562.98 is: 7,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.43 : 9,746.21 = 5,562.98 : x
  2. Step 2: Convert to fraction form
    7,057.43/9,746.21 = 5,562.98/x
  3. Step 3: Cross multiply
    7,057.43x = 9,746.21 × 5,562.98
  4. Step 4: Simplify right side
    7,057.43x = 54,217,894.76
  5. Step 5: Solve for x
    x = 54,217,894.76/7,057.43
  6. Step 6: Final answer
    x = 7,682.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.