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Finding the Fourth Proportional to 9,626.94, 13,283.74 and 5,848.14

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Solution

The fourth proportional to 9,626.94, 13,283.74 and 5,848.14 is: 8,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.94 : 13,283.74 = 5,848.14 : x
  2. Step 2: Convert to fraction form
    9,626.94/13,283.74 = 5,848.14/x
  3. Step 3: Cross multiply
    9,626.94x = 13,283.74 × 5,848.14
  4. Step 4: Simplify right side
    9,626.94x = 77,685,171.24
  5. Step 5: Solve for x
    x = 77,685,171.24/9,626.94
  6. Step 6: Final answer
    x = 8,069.56

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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.