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Finding the Fourth Proportional to 9,999.84, 13,795.36 and 6,463.36

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Solution

The fourth proportional to 9,999.84, 13,795.36 and 6,463.36 is: 8,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.84 : 13,795.36 = 6,463.36 : x
  2. Step 2: Convert to fraction form
    9,999.84/13,795.36 = 6,463.36/x
  3. Step 3: Cross multiply
    9,999.84x = 13,795.36 × 6,463.36
  4. Step 4: Simplify right side
    9,999.84x = 89,164,378.01
  5. Step 5: Solve for x
    x = 89,164,378.01/9,999.84
  6. Step 6: Final answer
    x = 8,916.58

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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.