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Finding the Fourth Proportional to 9,583.66, 13,223.80 and 8,808.54

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Solution

The fourth proportional to 9,583.66, 13,223.80 and 8,808.54 is: 12,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.66 : 13,223.80 = 8,808.54 : x
  2. Step 2: Convert to fraction form
    9,583.66/13,223.80 = 8,808.54/x
  3. Step 3: Cross multiply
    9,583.66x = 13,223.80 × 8,808.54
  4. Step 4: Simplify right side
    9,583.66x = 116,482,371.25
  5. Step 5: Solve for x
    x = 116,482,371.25/9,583.66
  6. Step 6: Final answer
    x = 12,154.27

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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.