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Finding the Fourth Proportional to 9,999.84, 13,798.70 and 5,523.37

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Solution

The fourth proportional to 9,999.84, 13,798.70 and 5,523.37 is: 7,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.84 : 13,798.70 = 5,523.37 : x
  2. Step 2: Convert to fraction form
    9,999.84/13,798.70 = 5,523.37/x
  3. Step 3: Cross multiply
    9,999.84x = 13,798.70 × 5,523.37
  4. Step 4: Simplify right side
    9,999.84x = 76,215,298.00
  5. Step 5: Solve for x
    x = 76,215,298.00/9,999.84
  6. Step 6: Final answer
    x = 7,621.66

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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.