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Finding the Fourth Proportional to 6,090.78, 8,397.63 and 4,970.58

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Solution

The fourth proportional to 6,090.78, 8,397.63 and 4,970.58 is: 6,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.78 : 8,397.63 = 4,970.58 : x
  2. Step 2: Convert to fraction form
    6,090.78/8,397.63 = 4,970.58/x
  3. Step 3: Cross multiply
    6,090.78x = 8,397.63 × 4,970.58
  4. Step 4: Simplify right side
    6,090.78x = 41,741,091.73
  5. Step 5: Solve for x
    x = 41,741,091.73/6,090.78
  6. Step 6: Final answer
    x = 6,853.16

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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.