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Finding the Fourth Proportional to 9,797.16, 13,504.14 and 7,669.14

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Solution

The fourth proportional to 9,797.16, 13,504.14 and 7,669.14 is: 10,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.16 : 13,504.14 = 7,669.14 : x
  2. Step 2: Convert to fraction form
    9,797.16/13,504.14 = 7,669.14/x
  3. Step 3: Cross multiply
    9,797.16x = 13,504.14 × 7,669.14
  4. Step 4: Simplify right side
    9,797.16x = 103,565,140.24
  5. Step 5: Solve for x
    x = 103,565,140.24/9,797.16
  6. Step 6: Final answer
    x = 10,570.93

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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.