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Finding the Fourth Proportional to 9,561, 13,188.47 and 6,018.06

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Solution

The fourth proportional to 9,561, 13,188.47 and 6,018.06 is: 8,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 13,188.47 = 6,018.06 : x
  2. Step 2: Convert to fraction form
    9,561/13,188.47 = 6,018.06/x
  3. Step 3: Cross multiply
    9,561x = 13,188.47 × 6,018.06
  4. Step 4: Simplify right side
    9,561x = 79,368,973.68
  5. Step 5: Solve for x
    x = 79,368,973.68/9,561
  6. Step 6: Final answer
    x = 8,301.33

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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.