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Finding the Fourth Proportional to 5,213.63, 7,820.54 and 1,703.68

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Solution

The fourth proportional to 5,213.63, 7,820.54 and 1,703.68 is: 2,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.63 : 7,820.54 = 1,703.68 : x
  2. Step 2: Convert to fraction form
    5,213.63/7,820.54 = 1,703.68/x
  3. Step 3: Cross multiply
    5,213.63x = 7,820.54 × 1,703.68
  4. Step 4: Simplify right side
    5,213.63x = 13,323,697.59
  5. Step 5: Solve for x
    x = 13,323,697.59/5,213.63
  6. Step 6: Final answer
    x = 2,555.55

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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.