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Finding the Fourth Proportional to 9,302.12, 12,837.03 and 5,053.22

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Solution

The fourth proportional to 9,302.12, 12,837.03 and 5,053.22 is: 6,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.12 : 12,837.03 = 5,053.22 : x
  2. Step 2: Convert to fraction form
    9,302.12/12,837.03 = 5,053.22/x
  3. Step 3: Cross multiply
    9,302.12x = 12,837.03 × 5,053.22
  4. Step 4: Simplify right side
    9,302.12x = 64,868,311.47
  5. Step 5: Solve for x
    x = 64,868,311.47/9,302.12
  6. Step 6: Final answer
    x = 6,973.50

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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.