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Finding the Fourth Proportional to 9,698.14, 13,353.42 and 7,582.24

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Solution

The fourth proportional to 9,698.14, 13,353.42 and 7,582.24 is: 10,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.14 : 13,353.42 = 7,582.24 : x
  2. Step 2: Convert to fraction form
    9,698.14/13,353.42 = 7,582.24/x
  3. Step 3: Cross multiply
    9,698.14x = 13,353.42 × 7,582.24
  4. Step 4: Simplify right side
    9,698.14x = 101,248,835.26
  5. Step 5: Solve for x
    x = 101,248,835.26/9,698.14
  6. Step 6: Final answer
    x = 10,440.03

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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.