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Finding the Fourth Proportional to 9,886.84, 14,830.98 and 3,313

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Solution

The fourth proportional to 9,886.84, 14,830.98 and 3,313 is: 4,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.84 : 14,830.98 = 3,313 : x
  2. Step 2: Convert to fraction form
    9,886.84/14,830.98 = 3,313/x
  3. Step 3: Cross multiply
    9,886.84x = 14,830.98 × 3,313
  4. Step 4: Simplify right side
    9,886.84x = 49,135,036.74
  5. Step 5: Solve for x
    x = 49,135,036.74/9,886.84
  6. Step 6: Final answer
    x = 4,969.74

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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.