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Finding the Fourth Proportional to 6,937.50, 9,573.78 and 4,453.50

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Solution

The fourth proportional to 6,937.50, 9,573.78 and 4,453.50 is: 6,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.50 : 9,573.78 = 4,453.50 : x
  2. Step 2: Convert to fraction form
    6,937.50/9,573.78 = 4,453.50/x
  3. Step 3: Cross multiply
    6,937.50x = 9,573.78 × 4,453.50
  4. Step 4: Simplify right side
    6,937.50x = 42,636,829.23
  5. Step 5: Solve for x
    x = 42,636,829.23/6,937.50
  6. Step 6: Final answer
    x = 6,145.85

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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.