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Finding the Fourth Proportional to 7,084.84, 9,756.66 and 7,063.24

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Solution

The fourth proportional to 7,084.84, 9,756.66 and 7,063.24 is: 9,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.84 : 9,756.66 = 7,063.24 : x
  2. Step 2: Convert to fraction form
    7,084.84/9,756.66 = 7,063.24/x
  3. Step 3: Cross multiply
    7,084.84x = 9,756.66 × 7,063.24
  4. Step 4: Simplify right side
    7,084.84x = 68,913,631.18
  5. Step 5: Solve for x
    x = 68,913,631.18/7,084.84
  6. Step 6: Final answer
    x = 9,726.91

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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.