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Finding the Fourth Proportional to 9,916.95, 14,876.82 and 2,897.48

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Solution

The fourth proportional to 9,916.95, 14,876.82 and 2,897.48 is: 4,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.95 : 14,876.82 = 2,897.48 : x
  2. Step 2: Convert to fraction form
    9,916.95/14,876.82 = 2,897.48/x
  3. Step 3: Cross multiply
    9,916.95x = 14,876.82 × 2,897.48
  4. Step 4: Simplify right side
    9,916.95x = 43,105,288.41
  5. Step 5: Solve for x
    x = 43,105,288.41/9,916.95
  6. Step 6: Final answer
    x = 4,346.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.