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Finding the Fourth Proportional to 7,156.44, 9,866.76 and 4,634.10

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Solution

The fourth proportional to 7,156.44, 9,866.76 and 4,634.10 is: 6,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.44 : 9,866.76 = 4,634.10 : x
  2. Step 2: Convert to fraction form
    7,156.44/9,866.76 = 4,634.10/x
  3. Step 3: Cross multiply
    7,156.44x = 9,866.76 × 4,634.10
  4. Step 4: Simplify right side
    7,156.44x = 45,723,552.52
  5. Step 5: Solve for x
    x = 45,723,552.52/7,156.44
  6. Step 6: Final answer
    x = 6,389.15

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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.