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Finding the Fourth Proportional to 9,771.56, 14,657.74 and 2,846.06

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Solution

The fourth proportional to 9,771.56, 14,657.74 and 2,846.06 is: 4,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.56 : 14,657.74 = 2,846.06 : x
  2. Step 2: Convert to fraction form
    9,771.56/14,657.74 = 2,846.06/x
  3. Step 3: Cross multiply
    9,771.56x = 14,657.74 × 2,846.06
  4. Step 4: Simplify right side
    9,771.56x = 41,716,807.50
  5. Step 5: Solve for x
    x = 41,716,807.50/9,771.56
  6. Step 6: Final answer
    x = 4,269.21

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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.