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Finding the Fourth Proportional to 6,224.64, 8,590.02 and 3,430.20

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Solution

The fourth proportional to 6,224.64, 8,590.02 and 3,430.20 is: 4,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.64 : 8,590.02 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    6,224.64/8,590.02 = 3,430.20/x
  3. Step 3: Cross multiply
    6,224.64x = 8,590.02 × 3,430.20
  4. Step 4: Simplify right side
    6,224.64x = 29,465,486.60
  5. Step 5: Solve for x
    x = 29,465,486.60/6,224.64
  6. Step 6: Final answer
    x = 4,733.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.