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Finding the Fourth Proportional to 9,664.62, 14,501.79 and 7,204.38

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Solution

The fourth proportional to 9,664.62, 14,501.79 and 7,204.38 is: 10,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.62 : 14,501.79 = 7,204.38 : x
  2. Step 2: Convert to fraction form
    9,664.62/14,501.79 = 7,204.38/x
  3. Step 3: Cross multiply
    9,664.62x = 14,501.79 × 7,204.38
  4. Step 4: Simplify right side
    9,664.62x = 104,476,405.84
  5. Step 5: Solve for x
    x = 104,476,405.84/9,664.62
  6. Step 6: Final answer
    x = 10,810.19

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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.