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Finding the Fourth Proportional to 9,695.70, 14,477.87 and 7,698.92

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Solution

The fourth proportional to 9,695.70, 14,477.87 and 7,698.92 is: 11,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.70 : 14,477.87 = 7,698.92 : x
  2. Step 2: Convert to fraction form
    9,695.70/14,477.87 = 7,698.92/x
  3. Step 3: Cross multiply
    9,695.70x = 14,477.87 × 7,698.92
  4. Step 4: Simplify right side
    9,695.70x = 111,463,962.90
  5. Step 5: Solve for x
    x = 111,463,962.90/9,695.70
  6. Step 6: Final answer
    x = 11,496.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.