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Finding the Fourth Proportional to 7,253, 10,824.70 and 6,553.16

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Solution

The fourth proportional to 7,253, 10,824.70 and 6,553.16 is: 9,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253 : 10,824.70 = 6,553.16 : x
  2. Step 2: Convert to fraction form
    7,253/10,824.70 = 6,553.16/x
  3. Step 3: Cross multiply
    7,253x = 10,824.70 × 6,553.16
  4. Step 4: Simplify right side
    7,253x = 70,935,991.05
  5. Step 5: Solve for x
    x = 70,935,991.05/7,253
  6. Step 6: Final answer
    x = 9,780.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.