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Finding the Fourth Proportional to 9,657.81, 14,489.64 and 4,038.21

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Solution

The fourth proportional to 9,657.81, 14,489.64 and 4,038.21 is: 6,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.81 : 14,489.64 = 4,038.21 : x
  2. Step 2: Convert to fraction form
    9,657.81/14,489.64 = 4,038.21/x
  3. Step 3: Cross multiply
    9,657.81x = 14,489.64 × 4,038.21
  4. Step 4: Simplify right side
    9,657.81x = 58,512,209.14
  5. Step 5: Solve for x
    x = 58,512,209.14/9,657.81
  6. Step 6: Final answer
    x = 6,058.54

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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.