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Finding the Fourth Proportional to 10,433.84, 14,398.22 and 5,718.02

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Solution

The fourth proportional to 10,433.84, 14,398.22 and 5,718.02 is: 7,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.84 : 14,398.22 = 5,718.02 : x
  2. Step 2: Convert to fraction form
    10,433.84/14,398.22 = 5,718.02/x
  3. Step 3: Cross multiply
    10,433.84x = 14,398.22 × 5,718.02
  4. Step 4: Simplify right side
    10,433.84x = 82,329,252.23
  5. Step 5: Solve for x
    x = 82,329,252.23/10,433.84
  6. Step 6: Final answer
    x = 7,890.60

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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.