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Finding the Fourth Proportional to 7,774.71, 11,612.51 and 7,033.18

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Solution

The fourth proportional to 7,774.71, 11,612.51 and 7,033.18 is: 10,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.71 : 11,612.51 = 7,033.18 : x
  2. Step 2: Convert to fraction form
    7,774.71/11,612.51 = 7,033.18/x
  3. Step 3: Cross multiply
    7,774.71x = 11,612.51 × 7,033.18
  4. Step 4: Simplify right side
    7,774.71x = 81,672,896.59
  5. Step 5: Solve for x
    x = 81,672,896.59/7,774.71
  6. Step 6: Final answer
    x = 10,504.95

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Double scale
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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.