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Finding the Fourth Proportional to 7,617.84, 10,500.74 and 7,006.84

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Solution

The fourth proportional to 7,617.84, 10,500.74 and 7,006.84 is: 9,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.84 : 10,500.74 = 7,006.84 : x
  2. Step 2: Convert to fraction form
    7,617.84/10,500.74 = 7,006.84/x
  3. Step 3: Cross multiply
    7,617.84x = 10,500.74 × 7,006.84
  4. Step 4: Simplify right side
    7,617.84x = 73,577,005.06
  5. Step 5: Solve for x
    x = 73,577,005.06/7,617.84
  6. Step 6: Final answer
    x = 9,658.51

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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.