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Finding the Fourth Proportional to 6,433.75, 9,666.76 and 4,094.76

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Solution

The fourth proportional to 6,433.75, 9,666.76 and 4,094.76 is: 6,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.75 : 9,666.76 = 4,094.76 : x
  2. Step 2: Convert to fraction form
    6,433.75/9,666.76 = 4,094.76/x
  3. Step 3: Cross multiply
    6,433.75x = 9,666.76 × 4,094.76
  4. Step 4: Simplify right side
    6,433.75x = 39,583,062.18
  5. Step 5: Solve for x
    x = 39,583,062.18/6,433.75
  6. Step 6: Final answer
    x = 6,152.41

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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.