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Finding the Fourth Proportional to 7,705.53, 11,561.94 and 7,348.32

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Solution

The fourth proportional to 7,705.53, 11,561.94 and 7,348.32 is: 11,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.53 : 11,561.94 = 7,348.32 : x
  2. Step 2: Convert to fraction form
    7,705.53/11,561.94 = 7,348.32/x
  3. Step 3: Cross multiply
    7,705.53x = 11,561.94 × 7,348.32
  4. Step 4: Simplify right side
    7,705.53x = 84,960,834.94
  5. Step 5: Solve for x
    x = 84,960,834.94/7,705.53
  6. Step 6: Final answer
    x = 11,025.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.