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Finding the Fourth Proportional to 11,554.50, 15,954.94 and 7,313.05

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Solution

The fourth proportional to 11,554.50, 15,954.94 and 7,313.05 is: 10,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.50 : 15,954.94 = 7,313.05 : x
  2. Step 2: Convert to fraction form
    11,554.50/15,954.94 = 7,313.05/x
  3. Step 3: Cross multiply
    11,554.50x = 15,954.94 × 7,313.05
  4. Step 4: Simplify right side
    11,554.50x = 116,679,172.17
  5. Step 5: Solve for x
    x = 116,679,172.17/11,554.50
  6. Step 6: Final answer
    x = 10,098.16

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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.