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Finding the Fourth Proportional to 9,048.38, 12,473.06 and 7,782.62

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Solution

The fourth proportional to 9,048.38, 12,473.06 and 7,782.62 is: 10,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.38 : 12,473.06 = 7,782.62 : x
  2. Step 2: Convert to fraction form
    9,048.38/12,473.06 = 7,782.62/x
  3. Step 3: Cross multiply
    9,048.38x = 12,473.06 × 7,782.62
  4. Step 4: Simplify right side
    9,048.38x = 97,072,984.94
  5. Step 5: Solve for x
    x = 97,072,984.94/9,048.38
  6. Step 6: Final answer
    x = 10,728.22

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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.