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Finding the Fourth Proportional to 6,572.34, 9,859.32 and 2,411.64

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Solution

The fourth proportional to 6,572.34, 9,859.32 and 2,411.64 is: 3,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.34 : 9,859.32 = 2,411.64 : x
  2. Step 2: Convert to fraction form
    6,572.34/9,859.32 = 2,411.64/x
  3. Step 3: Cross multiply
    6,572.34x = 9,859.32 × 2,411.64
  4. Step 4: Simplify right side
    6,572.34x = 23,777,130.48
  5. Step 5: Solve for x
    x = 23,777,130.48/6,572.34
  6. Step 6: Final answer
    x = 3,617.76

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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.