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Finding the Fourth Proportional to 9,157.96, 12,637.99 and 4,966.21

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Solution

The fourth proportional to 9,157.96, 12,637.99 and 4,966.21 is: 6,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.96 : 12,637.99 = 4,966.21 : x
  2. Step 2: Convert to fraction form
    9,157.96/12,637.99 = 4,966.21/x
  3. Step 3: Cross multiply
    9,157.96x = 12,637.99 × 4,966.21
  4. Step 4: Simplify right side
    9,157.96x = 62,762,824.30
  5. Step 5: Solve for x
    x = 62,762,824.30/9,157.96
  6. Step 6: Final answer
    x = 6,853.37

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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.