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Finding the Fourth Proportional to 6,430.68, 9,646.20 and 1,813.68

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Solution

The fourth proportional to 6,430.68, 9,646.20 and 1,813.68 is: 2,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.68 : 9,646.20 = 1,813.68 : x
  2. Step 2: Convert to fraction form
    6,430.68/9,646.20 = 1,813.68/x
  3. Step 3: Cross multiply
    6,430.68x = 9,646.20 × 1,813.68
  4. Step 4: Simplify right side
    6,430.68x = 17,495,120.02
  5. Step 5: Solve for x
    x = 17,495,120.02/6,430.68
  6. Step 6: Final answer
    x = 2,720.57

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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.