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Finding the Fourth Proportional to 9,465.64, 13,062.18 and 5,486.44

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Solution

The fourth proportional to 9,465.64, 13,062.18 and 5,486.44 is: 7,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.64 : 13,062.18 = 5,486.44 : x
  2. Step 2: Convert to fraction form
    9,465.64/13,062.18 = 5,486.44/x
  3. Step 3: Cross multiply
    9,465.64x = 13,062.18 × 5,486.44
  4. Step 4: Simplify right side
    9,465.64x = 71,664,866.84
  5. Step 5: Solve for x
    x = 71,664,866.84/9,465.64
  6. Step 6: Final answer
    x = 7,571.05

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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.