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Finding the Fourth Proportional to 7,036.28, 9,700.94 and 4,378.94

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Solution

The fourth proportional to 7,036.28, 9,700.94 and 4,378.94 is: 6,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.28 : 9,700.94 = 4,378.94 : x
  2. Step 2: Convert to fraction form
    7,036.28/9,700.94 = 4,378.94/x
  3. Step 3: Cross multiply
    7,036.28x = 9,700.94 × 4,378.94
  4. Step 4: Simplify right side
    7,036.28x = 42,479,834.20
  5. Step 5: Solve for x
    x = 42,479,834.20/7,036.28
  6. Step 6: Final answer
    x = 6,037.26

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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.