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Finding the Fourth Proportional to 9,771.95, 13,485.26 and 5,295.82

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Solution

The fourth proportional to 9,771.95, 13,485.26 and 5,295.82 is: 7,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.95 : 13,485.26 = 5,295.82 : x
  2. Step 2: Convert to fraction form
    9,771.95/13,485.26 = 5,295.82/x
  3. Step 3: Cross multiply
    9,771.95x = 13,485.26 × 5,295.82
  4. Step 4: Simplify right side
    9,771.95x = 71,415,442.19
  5. Step 5: Solve for x
    x = 71,415,442.19/9,771.95
  6. Step 6: Final answer
    x = 7,308.21

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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.