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Finding the Fourth Proportional to 9,805.32, 13,530.97 and 5,328.98

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Solution

The fourth proportional to 9,805.32, 13,530.97 and 5,328.98 is: 7,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.32 : 13,530.97 = 5,328.98 : x
  2. Step 2: Convert to fraction form
    9,805.32/13,530.97 = 5,328.98/x
  3. Step 3: Cross multiply
    9,805.32x = 13,530.97 × 5,328.98
  4. Step 4: Simplify right side
    9,805.32x = 72,106,268.51
  5. Step 5: Solve for x
    x = 72,106,268.51/9,805.32
  6. Step 6: Final answer
    x = 7,353.79

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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.