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Finding the Fourth Proportional to 9,058, 12,520.96 and 7,557.16

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Solution

The fourth proportional to 9,058, 12,520.96 and 7,557.16 is: 10,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058 : 12,520.96 = 7,557.16 : x
  2. Step 2: Convert to fraction form
    9,058/12,520.96 = 7,557.16/x
  3. Step 3: Cross multiply
    9,058x = 12,520.96 × 7,557.16
  4. Step 4: Simplify right side
    9,058x = 94,622,898.07
  5. Step 5: Solve for x
    x = 94,622,898.07/9,058
  6. Step 6: Final answer
    x = 10,446.33

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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.