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Finding the Fourth Proportional to 6,930.10, 9,570.27 and 5,929.53

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Solution

The fourth proportional to 6,930.10, 9,570.27 and 5,929.53 is: 8,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.10 : 9,570.27 = 5,929.53 : x
  2. Step 2: Convert to fraction form
    6,930.10/9,570.27 = 5,929.53/x
  3. Step 3: Cross multiply
    6,930.10x = 9,570.27 × 5,929.53
  4. Step 4: Simplify right side
    6,930.10x = 56,747,203.07
  5. Step 5: Solve for x
    x = 56,747,203.07/6,930.10
  6. Step 6: Final answer
    x = 8,188.51

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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.