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Finding the Fourth Proportional to 7,157.79, 9,877.74 and 4,363.29

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Solution

The fourth proportional to 7,157.79, 9,877.74 and 4,363.29 is: 6,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.79 : 9,877.74 = 4,363.29 : x
  2. Step 2: Convert to fraction form
    7,157.79/9,877.74 = 4,363.29/x
  3. Step 3: Cross multiply
    7,157.79x = 9,877.74 × 4,363.29
  4. Step 4: Simplify right side
    7,157.79x = 43,099,444.16
  5. Step 5: Solve for x
    x = 43,099,444.16/7,157.79
  6. Step 6: Final answer
    x = 6,021.33

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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.