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Finding the Fourth Proportional to 6,541.50, 9,814.14 and 1,924.50

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Solution

The fourth proportional to 6,541.50, 9,814.14 and 1,924.50 is: 2,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.50 : 9,814.14 = 1,924.50 : x
  2. Step 2: Convert to fraction form
    6,541.50/9,814.14 = 1,924.50/x
  3. Step 3: Cross multiply
    6,541.50x = 9,814.14 × 1,924.50
  4. Step 4: Simplify right side
    6,541.50x = 18,887,312.43
  5. Step 5: Solve for x
    x = 18,887,312.43/6,541.50
  6. Step 6: Final answer
    x = 2,887.31

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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.