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Finding the Fourth Proportional to 7,089.98, 9,784.01 and 3,859.70

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Solution

The fourth proportional to 7,089.98, 9,784.01 and 3,859.70 is: 5,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.98 : 9,784.01 = 3,859.70 : x
  2. Step 2: Convert to fraction form
    7,089.98/9,784.01 = 3,859.70/x
  3. Step 3: Cross multiply
    7,089.98x = 9,784.01 × 3,859.70
  4. Step 4: Simplify right side
    7,089.98x = 37,763,343.40
  5. Step 5: Solve for x
    x = 37,763,343.40/7,089.98
  6. Step 6: Final answer
    x = 5,326.30

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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.