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Finding the Fourth Proportional to 9,107.74, 12,569.94 and 5,572.12

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Solution

The fourth proportional to 9,107.74, 12,569.94 and 5,572.12 is: 7,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.74 : 12,569.94 = 5,572.12 : x
  2. Step 2: Convert to fraction form
    9,107.74/12,569.94 = 5,572.12/x
  3. Step 3: Cross multiply
    9,107.74x = 12,569.94 × 5,572.12
  4. Step 4: Simplify right side
    9,107.74x = 70,041,214.07
  5. Step 5: Solve for x
    x = 70,041,214.07/9,107.74
  6. Step 6: Final answer
    x = 7,690.30

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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.