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Finding the Fourth Proportional to 9,297.26, 12,829.94 and 5,048.22

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Solution

The fourth proportional to 9,297.26, 12,829.94 and 5,048.22 is: 6,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.26 : 12,829.94 = 5,048.22 : x
  2. Step 2: Convert to fraction form
    9,297.26/12,829.94 = 5,048.22/x
  3. Step 3: Cross multiply
    9,297.26x = 12,829.94 × 5,048.22
  4. Step 4: Simplify right side
    9,297.26x = 64,768,359.71
  5. Step 5: Solve for x
    x = 64,768,359.71/9,297.26
  6. Step 6: Final answer
    x = 6,966.39

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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.