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Finding the Fourth Proportional to 6,965.28, 9,612.95 and 4,315.37

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Solution

The fourth proportional to 6,965.28, 9,612.95 and 4,315.37 is: 5,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.28 : 9,612.95 = 4,315.37 : x
  2. Step 2: Convert to fraction form
    6,965.28/9,612.95 = 4,315.37/x
  3. Step 3: Cross multiply
    6,965.28x = 9,612.95 × 4,315.37
  4. Step 4: Simplify right side
    6,965.28x = 41,483,366.40
  5. Step 5: Solve for x
    x = 41,483,366.40/6,965.28
  6. Step 6: Final answer
    x = 5,955.74

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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.