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Finding the Fourth Proportional to 15,642.48, 23,464.08 and 5,784.48

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Solution

The fourth proportional to 15,642.48, 23,464.08 and 5,784.48 is: 8,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.48 : 23,464.08 = 5,784.48 : x
  2. Step 2: Convert to fraction form
    15,642.48/23,464.08 = 5,784.48/x
  3. Step 3: Cross multiply
    15,642.48x = 23,464.08 × 5,784.48
  4. Step 4: Simplify right side
    15,642.48x = 135,727,501.48
  5. Step 5: Solve for x
    x = 135,727,501.48/15,642.48
  6. Step 6: Final answer
    x = 8,676.85

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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.