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Finding the Fourth Proportional to 7,028.42, 9,700.84 and 4,045.98

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Solution

The fourth proportional to 7,028.42, 9,700.84 and 4,045.98 is: 5,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.42 : 9,700.84 = 4,045.98 : x
  2. Step 2: Convert to fraction form
    7,028.42/9,700.84 = 4,045.98/x
  3. Step 3: Cross multiply
    7,028.42x = 9,700.84 × 4,045.98
  4. Step 4: Simplify right side
    7,028.42x = 39,249,404.62
  5. Step 5: Solve for x
    x = 39,249,404.62/7,028.42
  6. Step 6: Final answer
    x = 5,584.39

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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.