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Finding the Fourth Proportional to 9,297.51, 13,866.73 and 8,969.46

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Solution

The fourth proportional to 9,297.51, 13,866.73 and 8,969.46 is: 13,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.51 : 13,866.73 = 8,969.46 : x
  2. Step 2: Convert to fraction form
    9,297.51/13,866.73 = 8,969.46/x
  3. Step 3: Cross multiply
    9,297.51x = 13,866.73 × 8,969.46
  4. Step 4: Simplify right side
    9,297.51x = 124,377,080.07
  5. Step 5: Solve for x
    x = 124,377,080.07/9,297.51
  6. Step 6: Final answer
    x = 13,377.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.