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Finding the Fourth Proportional to 9,653.14, 13,323.60 and 6,290.14

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Solution

The fourth proportional to 9,653.14, 13,323.60 and 6,290.14 is: 8,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.14 : 13,323.60 = 6,290.14 : x
  2. Step 2: Convert to fraction form
    9,653.14/13,323.60 = 6,290.14/x
  3. Step 3: Cross multiply
    9,653.14x = 13,323.60 × 6,290.14
  4. Step 4: Simplify right side
    9,653.14x = 83,807,309.30
  5. Step 5: Solve for x
    x = 83,807,309.30/9,653.14
  6. Step 6: Final answer
    x = 8,681.87

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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.