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Finding the Fourth Proportional to 9,160.94, 12,642.16 and 4,969.22

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Solution

The fourth proportional to 9,160.94, 12,642.16 and 4,969.22 is: 6,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.94 : 12,642.16 = 4,969.22 : x
  2. Step 2: Convert to fraction form
    9,160.94/12,642.16 = 4,969.22/x
  3. Step 3: Cross multiply
    9,160.94x = 12,642.16 × 4,969.22
  4. Step 4: Simplify right side
    9,160.94x = 62,821,598.68
  5. Step 5: Solve for x
    x = 62,821,598.68/9,160.94
  6. Step 6: Final answer
    x = 6,857.55

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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.