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Finding the Fourth Proportional to 7,697, 10,621.86 and 4,385

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Solution

The fourth proportional to 7,697, 10,621.86 and 4,385 is: 6,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697 : 10,621.86 = 4,385 : x
  2. Step 2: Convert to fraction form
    7,697/10,621.86 = 4,385/x
  3. Step 3: Cross multiply
    7,697x = 10,621.86 × 4,385
  4. Step 4: Simplify right side
    7,697x = 46,576,856.10
  5. Step 5: Solve for x
    x = 46,576,856.10/7,697
  6. Step 6: Final answer
    x = 6,051.30

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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.