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Finding the Fourth Proportional to 11,564.65, 15,944.76 and 9,653.23

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Solution

The fourth proportional to 11,564.65, 15,944.76 and 9,653.23 is: 13,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.65 : 15,944.76 = 9,653.23 : x
  2. Step 2: Convert to fraction form
    11,564.65/15,944.76 = 9,653.23/x
  3. Step 3: Cross multiply
    11,564.65x = 15,944.76 × 9,653.23
  4. Step 4: Simplify right side
    11,564.65x = 153,918,435.57
  5. Step 5: Solve for x
    x = 153,918,435.57/11,564.65
  6. Step 6: Final answer
    x = 13,309.39

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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.