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Finding the Fourth Proportional to 11,554.65, 15,943.64 and 6,518.48

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Solution

The fourth proportional to 11,554.65, 15,943.64 and 6,518.48 is: 8,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.65 : 15,943.64 = 6,518.48 : x
  2. Step 2: Convert to fraction form
    11,554.65/15,943.64 = 6,518.48/x
  3. Step 3: Cross multiply
    11,554.65x = 15,943.64 × 6,518.48
  4. Step 4: Simplify right side
    11,554.65x = 103,928,186.16
  5. Step 5: Solve for x
    x = 103,928,186.16/11,554.65
  6. Step 6: Final answer
    x = 8,994.49

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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.