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Finding the Fourth Proportional to 6,402.14, 9,595 and 4,938.22

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Solution

The fourth proportional to 6,402.14, 9,595 and 4,938.22 is: 7,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.14 : 9,595 = 4,938.22 : x
  2. Step 2: Convert to fraction form
    6,402.14/9,595 = 4,938.22/x
  3. Step 3: Cross multiply
    6,402.14x = 9,595 × 4,938.22
  4. Step 4: Simplify right side
    6,402.14x = 47,382,220.90
  5. Step 5: Solve for x
    x = 47,382,220.90/6,402.14
  6. Step 6: Final answer
    x = 7,401.00

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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.