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Finding the Fourth Proportional to 9,109.61, 13,664.42 and 7,032.65

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Solution

The fourth proportional to 9,109.61, 13,664.42 and 7,032.65 is: 10,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.61 : 13,664.42 = 7,032.65 : x
  2. Step 2: Convert to fraction form
    9,109.61/13,664.42 = 7,032.65/x
  3. Step 3: Cross multiply
    9,109.61x = 13,664.42 × 7,032.65
  4. Step 4: Simplify right side
    9,109.61x = 96,097,083.31
  5. Step 5: Solve for x
    x = 96,097,083.31/9,109.61
  6. Step 6: Final answer
    x = 10,548.98

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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.