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Finding the Fourth Proportional to 9,842.56, 13,582.80 and 5,865.68

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Solution

The fourth proportional to 9,842.56, 13,582.80 and 5,865.68 is: 8,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.56 : 13,582.80 = 5,865.68 : x
  2. Step 2: Convert to fraction form
    9,842.56/13,582.80 = 5,865.68/x
  3. Step 3: Cross multiply
    9,842.56x = 13,582.80 × 5,865.68
  4. Step 4: Simplify right side
    9,842.56x = 79,672,358.30
  5. Step 5: Solve for x
    x = 79,672,358.30/9,842.56
  6. Step 6: Final answer
    x = 8,094.68

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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.