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Finding the Fourth Proportional to 10,494.13, 14,484.95 and 8,384.35

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Solution

The fourth proportional to 10,494.13, 14,484.95 and 8,384.35 is: 11,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.13 : 14,484.95 = 8,384.35 : x
  2. Step 2: Convert to fraction form
    10,494.13/14,484.95 = 8,384.35/x
  3. Step 3: Cross multiply
    10,494.13x = 14,484.95 × 8,384.35
  4. Step 4: Simplify right side
    10,494.13x = 121,446,776.19
  5. Step 5: Solve for x
    x = 121,446,776.19/10,494.13
  6. Step 6: Final answer
    x = 11,572.83

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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.