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Finding the Fourth Proportional to 9,033.09, 12,465.09 and 5,054.16

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Solution

The fourth proportional to 9,033.09, 12,465.09 and 5,054.16 is: 6,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.09 : 12,465.09 = 5,054.16 : x
  2. Step 2: Convert to fraction form
    9,033.09/12,465.09 = 5,054.16/x
  3. Step 3: Cross multiply
    9,033.09x = 12,465.09 × 5,054.16
  4. Step 4: Simplify right side
    9,033.09x = 63,000,559.27
  5. Step 5: Solve for x
    x = 63,000,559.27/9,033.09
  6. Step 6: Final answer
    x = 6,974.42

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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.