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Finding the Fourth Proportional to 9,664.32, 13,350.24 and 7,798.08

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Solution

The fourth proportional to 9,664.32, 13,350.24 and 7,798.08 is: 10,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.32 : 13,350.24 = 7,798.08 : x
  2. Step 2: Convert to fraction form
    9,664.32/13,350.24 = 7,798.08/x
  3. Step 3: Cross multiply
    9,664.32x = 13,350.24 × 7,798.08
  4. Step 4: Simplify right side
    9,664.32x = 104,106,239.54
  5. Step 5: Solve for x
    x = 104,106,239.54/9,664.32
  6. Step 6: Final answer
    x = 10,772.23

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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.