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Finding the Fourth Proportional to 10,366.63, 14,306 and 5,890.63

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Solution

The fourth proportional to 10,366.63, 14,306 and 5,890.63 is: 8,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.63 : 14,306 = 5,890.63 : x
  2. Step 2: Convert to fraction form
    10,366.63/14,306 = 5,890.63/x
  3. Step 3: Cross multiply
    10,366.63x = 14,306 × 5,890.63
  4. Step 4: Simplify right side
    10,366.63x = 84,271,352.78
  5. Step 5: Solve for x
    x = 84,271,352.78/10,366.63
  6. Step 6: Final answer
    x = 8,129.10

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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.