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Finding the Fourth Proportional to 10,461.88, 14,437.74 and 5,746.60

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Solution

The fourth proportional to 10,461.88, 14,437.74 and 5,746.60 is: 7,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.88 : 14,437.74 = 5,746.60 : x
  2. Step 2: Convert to fraction form
    10,461.88/14,437.74 = 5,746.60/x
  3. Step 3: Cross multiply
    10,461.88x = 14,437.74 × 5,746.60
  4. Step 4: Simplify right side
    10,461.88x = 82,967,916.68
  5. Step 5: Solve for x
    x = 82,967,916.68/10,461.88
  6. Step 6: Final answer
    x = 7,930.50

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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.