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Finding the Fourth Proportional to 10,490.59, 14,476.59 and 6,011.23

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Solution

The fourth proportional to 10,490.59, 14,476.59 and 6,011.23 is: 8,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.59 : 14,476.59 = 6,011.23 : x
  2. Step 2: Convert to fraction form
    10,490.59/14,476.59 = 6,011.23/x
  3. Step 3: Cross multiply
    10,490.59x = 14,476.59 × 6,011.23
  4. Step 4: Simplify right side
    10,490.59x = 87,022,112.11
  5. Step 5: Solve for x
    x = 87,022,112.11/10,490.59
  6. Step 6: Final answer
    x = 8,295.25

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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.