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Finding the Fourth Proportional to 9,397.74, 14,028 and 8,712.48

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Solution

The fourth proportional to 9,397.74, 14,028 and 8,712.48 is: 13,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.74 : 14,028 = 8,712.48 : x
  2. Step 2: Convert to fraction form
    9,397.74/14,028 = 8,712.48/x
  3. Step 3: Cross multiply
    9,397.74x = 14,028 × 8,712.48
  4. Step 4: Simplify right side
    9,397.74x = 122,218,669.44
  5. Step 5: Solve for x
    x = 122,218,669.44/9,397.74
  6. Step 6: Final answer
    x = 13,005.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.