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Finding the Fourth Proportional to 7,774.67, 10,713.12 and 7,355.90

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Solution

The fourth proportional to 7,774.67, 10,713.12 and 7,355.90 is: 10,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.67 : 10,713.12 = 7,355.90 : x
  2. Step 2: Convert to fraction form
    7,774.67/10,713.12 = 7,355.90/x
  3. Step 3: Cross multiply
    7,774.67x = 10,713.12 × 7,355.90
  4. Step 4: Simplify right side
    7,774.67x = 78,804,639.41
  5. Step 5: Solve for x
    x = 78,804,639.41/7,774.67
  6. Step 6: Final answer
    x = 10,136.08

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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.