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Finding the Fourth Proportional to 9,459.25, 13,047.51 and 5,916.31

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Solution

The fourth proportional to 9,459.25, 13,047.51 and 5,916.31 is: 8,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.25 : 13,047.51 = 5,916.31 : x
  2. Step 2: Convert to fraction form
    9,459.25/13,047.51 = 5,916.31/x
  3. Step 3: Cross multiply
    9,459.25x = 13,047.51 × 5,916.31
  4. Step 4: Simplify right side
    9,459.25x = 77,193,081.27
  5. Step 5: Solve for x
    x = 77,193,081.27/9,459.25
  6. Step 6: Final answer
    x = 8,160.59

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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.