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Finding the Fourth Proportional to 15,435, 21,301.92 and 9,465.30

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Solution

The fourth proportional to 15,435, 21,301.92 and 9,465.30 is: 13,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435 : 21,301.92 = 9,465.30 : x
  2. Step 2: Convert to fraction form
    15,435/21,301.92 = 9,465.30/x
  3. Step 3: Cross multiply
    15,435x = 21,301.92 × 9,465.30
  4. Step 4: Simplify right side
    15,435x = 201,629,063.38
  5. Step 5: Solve for x
    x = 201,629,063.38/15,435
  6. Step 6: Final answer
    x = 13,063.11

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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.