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Finding the Fourth Proportional to 7,777, 10,732.29 and 4,240.14

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Solution

The fourth proportional to 7,777, 10,732.29 and 4,240.14 is: 5,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777 : 10,732.29 = 4,240.14 : x
  2. Step 2: Convert to fraction form
    7,777/10,732.29 = 4,240.14/x
  3. Step 3: Cross multiply
    7,777x = 10,732.29 × 4,240.14
  4. Step 4: Simplify right side
    7,777x = 45,506,337.26
  5. Step 5: Solve for x
    x = 45,506,337.26/7,777
  6. Step 6: Final answer
    x = 5,851.40

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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.