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Finding the Fourth Proportional to 11,495.51, 15,864.08 and 6,459.43

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Solution

The fourth proportional to 11,495.51, 15,864.08 and 6,459.43 is: 8,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.51 : 15,864.08 = 6,459.43 : x
  2. Step 2: Convert to fraction form
    11,495.51/15,864.08 = 6,459.43/x
  3. Step 3: Cross multiply
    11,495.51x = 15,864.08 × 6,459.43
  4. Step 4: Simplify right side
    11,495.51x = 102,472,914.27
  5. Step 5: Solve for x
    x = 102,472,914.27/11,495.51
  6. Step 6: Final answer
    x = 8,914.17

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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.