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Finding the Fourth Proportional to 9,677.53, 14,520.71 and 5,736.57

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Solution

The fourth proportional to 9,677.53, 14,520.71 and 5,736.57 is: 8,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.53 : 14,520.71 = 5,736.57 : x
  2. Step 2: Convert to fraction form
    9,677.53/14,520.71 = 5,736.57/x
  3. Step 3: Cross multiply
    9,677.53x = 14,520.71 × 5,736.57
  4. Step 4: Simplify right side
    9,677.53x = 83,299,069.36
  5. Step 5: Solve for x
    x = 83,299,069.36/9,677.53
  6. Step 6: Final answer
    x = 8,607.47

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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.