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Finding the Fourth Proportional to 9,988, 13,783.44 and 5,798.56

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Solution

The fourth proportional to 9,988, 13,783.44 and 5,798.56 is: 8,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 13,783.44 = 5,798.56 : x
  2. Step 2: Convert to fraction form
    9,988/13,783.44 = 5,798.56/x
  3. Step 3: Cross multiply
    9,988x = 13,783.44 × 5,798.56
  4. Step 4: Simplify right side
    9,988x = 79,924,103.85
  5. Step 5: Solve for x
    x = 79,924,103.85/9,988
  6. Step 6: Final answer
    x = 8,002.01

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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.