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Finding the Fourth Proportional to 9,774.61, 13,495.43 and 6,055.09

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Solution

The fourth proportional to 9,774.61, 13,495.43 and 6,055.09 is: 8,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.61 : 13,495.43 = 6,055.09 : x
  2. Step 2: Convert to fraction form
    9,774.61/13,495.43 = 6,055.09/x
  3. Step 3: Cross multiply
    9,774.61x = 13,495.43 × 6,055.09
  4. Step 4: Simplify right side
    9,774.61x = 81,715,945.49
  5. Step 5: Solve for x
    x = 81,715,945.49/9,774.61
  6. Step 6: Final answer
    x = 8,360.03

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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.