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Finding the Fourth Proportional to 7,649.99, 10,557.50 and 4,665

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Solution

The fourth proportional to 7,649.99, 10,557.50 and 4,665 is: 6,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.99 : 10,557.50 = 4,665 : x
  2. Step 2: Convert to fraction form
    7,649.99/10,557.50 = 4,665/x
  3. Step 3: Cross multiply
    7,649.99x = 10,557.50 × 4,665
  4. Step 4: Simplify right side
    7,649.99x = 49,250,714.18
  5. Step 5: Solve for x
    x = 49,250,714.18/7,649.99
  6. Step 6: Final answer
    x = 6,438.01

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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.