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Finding the Fourth Proportional to 9,842.71, 14,776.95 and 5,847.41

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Solution

The fourth proportional to 9,842.71, 14,776.95 and 5,847.41 is: 8,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.71 : 14,776.95 = 5,847.41 : x
  2. Step 2: Convert to fraction form
    9,842.71/14,776.95 = 5,847.41/x
  3. Step 3: Cross multiply
    9,842.71x = 14,776.95 × 5,847.41
  4. Step 4: Simplify right side
    9,842.71x = 86,406,855.96
  5. Step 5: Solve for x
    x = 86,406,855.96/9,842.71
  6. Step 6: Final answer
    x = 8,778.77

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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.