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Finding the Fourth Proportional to 9,021, 12,448.76 and 5,042.16

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Solution

The fourth proportional to 9,021, 12,448.76 and 5,042.16 is: 6,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021 : 12,448.76 = 5,042.16 : x
  2. Step 2: Convert to fraction form
    9,021/12,448.76 = 5,042.16/x
  3. Step 3: Cross multiply
    9,021x = 12,448.76 × 5,042.16
  4. Step 4: Simplify right side
    9,021x = 62,768,639.72
  5. Step 5: Solve for x
    x = 62,768,639.72/9,021
  6. Step 6: Final answer
    x = 6,958.06

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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.