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Finding the Fourth Proportional to 10,265.13, 15,362.06 and 6,314.63

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Solution

The fourth proportional to 10,265.13, 15,362.06 and 6,314.63 is: 9,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.13 : 15,362.06 = 6,314.63 : x
  2. Step 2: Convert to fraction form
    10,265.13/15,362.06 = 6,314.63/x
  3. Step 3: Cross multiply
    10,265.13x = 15,362.06 × 6,314.63
  4. Step 4: Simplify right side
    10,265.13x = 97,005,616.55
  5. Step 5: Solve for x
    x = 97,005,616.55/10,265.13
  6. Step 6: Final answer
    x = 9,450.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.