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Finding the Fourth Proportional to 9,205.54, 12,701.90 and 5,848.90

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Solution

The fourth proportional to 9,205.54, 12,701.90 and 5,848.90 is: 8,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.54 : 12,701.90 = 5,848.90 : x
  2. Step 2: Convert to fraction form
    9,205.54/12,701.90 = 5,848.90/x
  3. Step 3: Cross multiply
    9,205.54x = 12,701.90 × 5,848.90
  4. Step 4: Simplify right side
    9,205.54x = 74,292,142.91
  5. Step 5: Solve for x
    x = 74,292,142.91/9,205.54
  6. Step 6: Final answer
    x = 8,070.37

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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.