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Finding the Fourth Proportional to 7,037.85, 9,709.21 and 4,053.05

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Solution

The fourth proportional to 7,037.85, 9,709.21 and 4,053.05 is: 5,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.85 : 9,709.21 = 4,053.05 : x
  2. Step 2: Convert to fraction form
    7,037.85/9,709.21 = 4,053.05/x
  3. Step 3: Cross multiply
    7,037.85x = 9,709.21 × 4,053.05
  4. Step 4: Simplify right side
    7,037.85x = 39,351,913.59
  5. Step 5: Solve for x
    x = 39,351,913.59/7,037.85
  6. Step 6: Final answer
    x = 5,591.47

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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.