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Finding the Fourth Proportional to 9,583.72, 13,225.92 and 5,804.76

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Solution

The fourth proportional to 9,583.72, 13,225.92 and 5,804.76 is: 8,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.72 : 13,225.92 = 5,804.76 : x
  2. Step 2: Convert to fraction form
    9,583.72/13,225.92 = 5,804.76/x
  3. Step 3: Cross multiply
    9,583.72x = 13,225.92 × 5,804.76
  4. Step 4: Simplify right side
    9,583.72x = 76,773,207.61
  5. Step 5: Solve for x
    x = 76,773,207.61/9,583.72
  6. Step 6: Final answer
    x = 8,010.79

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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.