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Finding the Fourth Proportional to 9,698.54, 13,369.47 and 7,599.02

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Solution

The fourth proportional to 9,698.54, 13,369.47 and 7,599.02 is: 10,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.54 : 13,369.47 = 7,599.02 : x
  2. Step 2: Convert to fraction form
    9,698.54/13,369.47 = 7,599.02/x
  3. Step 3: Cross multiply
    9,698.54x = 13,369.47 × 7,599.02
  4. Step 4: Simplify right side
    9,698.54x = 101,594,869.92
  5. Step 5: Solve for x
    x = 101,594,869.92/9,698.54
  6. Step 6: Final answer
    x = 10,475.27

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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.