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Finding the Fourth Proportional to 4,953.78, 7,430.25 and 1,833.66

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Solution

The fourth proportional to 4,953.78, 7,430.25 and 1,833.66 is: 2,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.78 : 7,430.25 = 1,833.66 : x
  2. Step 2: Convert to fraction form
    4,953.78/7,430.25 = 1,833.66/x
  3. Step 3: Cross multiply
    4,953.78x = 7,430.25 × 1,833.66
  4. Step 4: Simplify right side
    4,953.78x = 13,624,552.22
  5. Step 5: Solve for x
    x = 13,624,552.22/4,953.78
  6. Step 6: Final answer
    x = 2,750.33

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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.