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Finding the Fourth Proportional to 7,200.53, 9,927.77 and 6,007.25

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Solution

The fourth proportional to 7,200.53, 9,927.77 and 6,007.25 is: 8,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.53 : 9,927.77 = 6,007.25 : x
  2. Step 2: Convert to fraction form
    7,200.53/9,927.77 = 6,007.25/x
  3. Step 3: Cross multiply
    7,200.53x = 9,927.77 × 6,007.25
  4. Step 4: Simplify right side
    7,200.53x = 59,638,535.27
  5. Step 5: Solve for x
    x = 59,638,535.27/7,200.53
  6. Step 6: Final answer
    x = 8,282.52

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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.