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Finding the Fourth Proportional to 9,626.71, 13,285.74 and 7,612.84

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Solution

The fourth proportional to 9,626.71, 13,285.74 and 7,612.84 is: 10,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.71 : 13,285.74 = 7,612.84 : x
  2. Step 2: Convert to fraction form
    9,626.71/13,285.74 = 7,612.84/x
  3. Step 3: Cross multiply
    9,626.71x = 13,285.74 × 7,612.84
  4. Step 4: Simplify right side
    9,626.71x = 101,142,212.90
  5. Step 5: Solve for x
    x = 101,142,212.90/9,626.71
  6. Step 6: Final answer
    x = 10,506.42

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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.