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Finding the Fourth Proportional to 9,102.08, 12,583.40 and 9,019.04

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Solution

The fourth proportional to 9,102.08, 12,583.40 and 9,019.04 is: 12,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.08 : 12,583.40 = 9,019.04 : x
  2. Step 2: Convert to fraction form
    9,102.08/12,583.40 = 9,019.04/x
  3. Step 3: Cross multiply
    9,102.08x = 12,583.40 × 9,019.04
  4. Step 4: Simplify right side
    9,102.08x = 113,490,187.94
  5. Step 5: Solve for x
    x = 113,490,187.94/9,102.08
  6. Step 6: Final answer
    x = 12,468.60

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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.