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Finding the Fourth Proportional to 9,201.48, 12,699.84 and 5,848.20

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Solution

The fourth proportional to 9,201.48, 12,699.84 and 5,848.20 is: 8,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.48 : 12,699.84 = 5,848.20 : x
  2. Step 2: Convert to fraction form
    9,201.48/12,699.84 = 5,848.20/x
  3. Step 3: Cross multiply
    9,201.48x = 12,699.84 × 5,848.20
  4. Step 4: Simplify right side
    9,201.48x = 74,271,204.29
  5. Step 5: Solve for x
    x = 74,271,204.29/9,201.48
  6. Step 6: Final answer
    x = 8,071.66

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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.