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Finding the Fourth Proportional to 10,394.61, 14,359.74 and 8,994.93

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Solution

The fourth proportional to 10,394.61, 14,359.74 and 8,994.93 is: 12,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.61 : 14,359.74 = 8,994.93 : x
  2. Step 2: Convert to fraction form
    10,394.61/14,359.74 = 8,994.93/x
  3. Step 3: Cross multiply
    10,394.61x = 14,359.74 × 8,994.93
  4. Step 4: Simplify right side
    10,394.61x = 129,164,856.12
  5. Step 5: Solve for x
    x = 129,164,856.12/10,394.61
  6. Step 6: Final answer
    x = 12,426.14

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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.