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Finding the Fourth Proportional to 6,296.59, 9,445.13 and 1,913.94

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Solution

The fourth proportional to 6,296.59, 9,445.13 and 1,913.94 is: 2,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.59 : 9,445.13 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    6,296.59/9,445.13 = 1,913.94/x
  3. Step 3: Cross multiply
    6,296.59x = 9,445.13 × 1,913.94
  4. Step 4: Simplify right side
    6,296.59x = 18,077,412.11
  5. Step 5: Solve for x
    x = 18,077,412.11/6,296.59
  6. Step 6: Final answer
    x = 2,870.98

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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.