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Finding the Fourth Proportional to 7,048.67, 9,721.73 and 4,923.50

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Solution

The fourth proportional to 7,048.67, 9,721.73 and 4,923.50 is: 6,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.67 : 9,721.73 = 4,923.50 : x
  2. Step 2: Convert to fraction form
    7,048.67/9,721.73 = 4,923.50/x
  3. Step 3: Cross multiply
    7,048.67x = 9,721.73 × 4,923.50
  4. Step 4: Simplify right side
    7,048.67x = 47,864,901.36
  5. Step 5: Solve for x
    x = 47,864,901.36/7,048.67
  6. Step 6: Final answer
    x = 6,790.63

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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.