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Finding the Fourth Proportional to 7,509.74, 10,363.10 and 4,322.90

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Solution

The fourth proportional to 7,509.74, 10,363.10 and 4,322.90 is: 5,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.74 : 10,363.10 = 4,322.90 : x
  2. Step 2: Convert to fraction form
    7,509.74/10,363.10 = 4,322.90/x
  3. Step 3: Cross multiply
    7,509.74x = 10,363.10 × 4,322.90
  4. Step 4: Simplify right side
    7,509.74x = 44,798,644.99
  5. Step 5: Solve for x
    x = 44,798,644.99/7,509.74
  6. Step 6: Final answer
    x = 5,965.41

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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.