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Finding the Fourth Proportional to 6,543.04, 9,813.52 and 1,924.96

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Solution

The fourth proportional to 6,543.04, 9,813.52 and 1,924.96 is: 2,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.04 : 9,813.52 = 1,924.96 : x
  2. Step 2: Convert to fraction form
    6,543.04/9,813.52 = 1,924.96/x
  3. Step 3: Cross multiply
    6,543.04x = 9,813.52 × 1,924.96
  4. Step 4: Simplify right side
    6,543.04x = 18,890,633.46
  5. Step 5: Solve for x
    x = 18,890,633.46/6,543.04
  6. Step 6: Final answer
    x = 2,887.13

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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.