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Finding the Fourth Proportional to 9,583.32, 13,222.98 and 5,603.66

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Solution

The fourth proportional to 9,583.32, 13,222.98 and 5,603.66 is: 7,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.32 : 13,222.98 = 5,603.66 : x
  2. Step 2: Convert to fraction form
    9,583.32/13,222.98 = 5,603.66/x
  3. Step 3: Cross multiply
    9,583.32x = 13,222.98 × 5,603.66
  4. Step 4: Simplify right side
    9,583.32x = 74,097,017.99
  5. Step 5: Solve for x
    x = 74,097,017.99/9,583.32
  6. Step 6: Final answer
    x = 7,731.87

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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.