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Finding the Fourth Proportional to 9,416.98, 12,974.05 and 7,285.17

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Solution

The fourth proportional to 9,416.98, 12,974.05 and 7,285.17 is: 10,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.98 : 12,974.05 = 7,285.17 : x
  2. Step 2: Convert to fraction form
    9,416.98/12,974.05 = 7,285.17/x
  3. Step 3: Cross multiply
    9,416.98x = 12,974.05 × 7,285.17
  4. Step 4: Simplify right side
    9,416.98x = 94,518,141.63
  5. Step 5: Solve for x
    x = 94,518,141.63/9,416.98
  6. Step 6: Final answer
    x = 10,036.99

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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.