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Finding the Fourth Proportional to 9,649.04, 14,477.40 and 7,698.32

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Solution

The fourth proportional to 9,649.04, 14,477.40 and 7,698.32 is: 11,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.04 : 14,477.40 = 7,698.32 : x
  2. Step 2: Convert to fraction form
    9,649.04/14,477.40 = 7,698.32/x
  3. Step 3: Cross multiply
    9,649.04x = 14,477.40 × 7,698.32
  4. Step 4: Simplify right side
    9,649.04x = 111,451,657.97
  5. Step 5: Solve for x
    x = 111,451,657.97/9,649.04
  6. Step 6: Final answer
    x = 11,550.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.