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Finding the Fourth Proportional to 7,810.72, 10,775.71 and 4,821.36

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Solution

The fourth proportional to 7,810.72, 10,775.71 and 4,821.36 is: 6,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.72 : 10,775.71 = 4,821.36 : x
  2. Step 2: Convert to fraction form
    7,810.72/10,775.71 = 4,821.36/x
  3. Step 3: Cross multiply
    7,810.72x = 10,775.71 × 4,821.36
  4. Step 4: Simplify right side
    7,810.72x = 51,953,542.78
  5. Step 5: Solve for x
    x = 51,953,542.78/7,810.72
  6. Step 6: Final answer
    x = 6,651.57

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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.