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Finding the Fourth Proportional to 10,461.88, 14,437.49 and 5,746.26

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Solution

The fourth proportional to 10,461.88, 14,437.49 and 5,746.26 is: 7,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.88 : 14,437.49 = 5,746.26 : x
  2. Step 2: Convert to fraction form
    10,461.88/14,437.49 = 5,746.26/x
  3. Step 3: Cross multiply
    10,461.88x = 14,437.49 × 5,746.26
  4. Step 4: Simplify right side
    10,461.88x = 82,961,571.29
  5. Step 5: Solve for x
    x = 82,961,571.29/10,461.88
  6. Step 6: Final answer
    x = 7,929.90

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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.