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Finding the Fourth Proportional to 10,484.43, 14,468.86 and 6,009.03

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Solution

The fourth proportional to 10,484.43, 14,468.86 and 6,009.03 is: 8,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.43 : 14,468.86 = 6,009.03 : x
  2. Step 2: Convert to fraction form
    10,484.43/14,468.86 = 6,009.03/x
  3. Step 3: Cross multiply
    10,484.43x = 14,468.86 × 6,009.03
  4. Step 4: Simplify right side
    10,484.43x = 86,943,813.81
  5. Step 5: Solve for x
    x = 86,943,813.81/10,484.43
  6. Step 6: Final answer
    x = 8,292.66

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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.