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Finding the Fourth Proportional to 9,907.65, 13,673.96 and 6,132.03

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Solution

The fourth proportional to 9,907.65, 13,673.96 and 6,132.03 is: 8,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.65 : 13,673.96 = 6,132.03 : x
  2. Step 2: Convert to fraction form
    9,907.65/13,673.96 = 6,132.03/x
  3. Step 3: Cross multiply
    9,907.65x = 13,673.96 × 6,132.03
  4. Step 4: Simplify right side
    9,907.65x = 83,849,125.27
  5. Step 5: Solve for x
    x = 83,849,125.27/9,907.65
  6. Step 6: Final answer
    x = 8,463.07

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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.