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Finding the Fourth Proportional to 7,841.04, 10,820.58 and 4,256

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Solution

The fourth proportional to 7,841.04, 10,820.58 and 4,256 is: 5,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.04 : 10,820.58 = 4,256 : x
  2. Step 2: Convert to fraction form
    7,841.04/10,820.58 = 4,256/x
  3. Step 3: Cross multiply
    7,841.04x = 10,820.58 × 4,256
  4. Step 4: Simplify right side
    7,841.04x = 46,052,388.48
  5. Step 5: Solve for x
    x = 46,052,388.48/7,841.04
  6. Step 6: Final answer
    x = 5,873.25

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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.