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Finding the Fourth Proportional to 9,806.58, 13,523.85 and 7,564.89

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Solution

The fourth proportional to 9,806.58, 13,523.85 and 7,564.89 is: 10,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.58 : 13,523.85 = 7,564.89 : x
  2. Step 2: Convert to fraction form
    9,806.58/13,523.85 = 7,564.89/x
  3. Step 3: Cross multiply
    9,806.58x = 13,523.85 × 7,564.89
  4. Step 4: Simplify right side
    9,806.58x = 102,306,437.63
  5. Step 5: Solve for x
    x = 102,306,437.63/9,806.58
  6. Step 6: Final answer
    x = 10,432.43

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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.