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Finding the Fourth Proportional to 10,433, 14,395.30 and 6,185.40

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Solution

The fourth proportional to 10,433, 14,395.30 and 6,185.40 is: 8,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433 : 14,395.30 = 6,185.40 : x
  2. Step 2: Convert to fraction form
    10,433/14,395.30 = 6,185.40/x
  3. Step 3: Cross multiply
    10,433x = 14,395.30 × 6,185.40
  4. Step 4: Simplify right side
    10,433x = 89,040,688.62
  5. Step 5: Solve for x
    x = 89,040,688.62/10,433
  6. Step 6: Final answer
    x = 8,534.52

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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.