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Finding the Fourth Proportional to 9,855.65, 14,775.64 and 5,690.94

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Solution

The fourth proportional to 9,855.65, 14,775.64 and 5,690.94 is: 8,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.65 : 14,775.64 = 5,690.94 : x
  2. Step 2: Convert to fraction form
    9,855.65/14,775.64 = 5,690.94/x
  3. Step 3: Cross multiply
    9,855.65x = 14,775.64 × 5,690.94
  4. Step 4: Simplify right side
    9,855.65x = 84,087,280.70
  5. Step 5: Solve for x
    x = 84,087,280.70/9,855.65
  6. Step 6: Final answer
    x = 8,531.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.