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Finding the Fourth Proportional to 9,830.48, 13,559 and 6,847.32

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Solution

The fourth proportional to 9,830.48, 13,559 and 6,847.32 is: 9,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.48 : 13,559 = 6,847.32 : x
  2. Step 2: Convert to fraction form
    9,830.48/13,559 = 6,847.32/x
  3. Step 3: Cross multiply
    9,830.48x = 13,559 × 6,847.32
  4. Step 4: Simplify right side
    9,830.48x = 92,842,811.88
  5. Step 5: Solve for x
    x = 92,842,811.88/9,830.48
  6. Step 6: Final answer
    x = 9,444.38

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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.