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Finding the Fourth Proportional to 11,563.65, 15,943.38 and 9,652.23

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Solution

The fourth proportional to 11,563.65, 15,943.38 and 9,652.23 is: 13,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.65 : 15,943.38 = 9,652.23 : x
  2. Step 2: Convert to fraction form
    11,563.65/15,943.38 = 9,652.23/x
  3. Step 3: Cross multiply
    11,563.65x = 15,943.38 × 9,652.23
  4. Step 4: Simplify right side
    11,563.65x = 153,889,170.74
  5. Step 5: Solve for x
    x = 153,889,170.74/11,563.65
  6. Step 6: Final answer
    x = 13,308.01

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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.