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Finding the Fourth Proportional to 6,472.90, 9,709.35 and 5,220.10

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Solution

The fourth proportional to 6,472.90, 9,709.35 and 5,220.10 is: 7,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.90 : 9,709.35 = 5,220.10 : x
  2. Step 2: Convert to fraction form
    6,472.90/9,709.35 = 5,220.10/x
  3. Step 3: Cross multiply
    6,472.90x = 9,709.35 × 5,220.10
  4. Step 4: Simplify right side
    6,472.90x = 50,683,777.94
  5. Step 5: Solve for x
    x = 50,683,777.94/6,472.90
  6. Step 6: Final answer
    x = 7,830.15

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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.