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Finding the Fourth Proportional to 10,580.84, 14,601.54 and 5,865.16

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Solution

The fourth proportional to 10,580.84, 14,601.54 and 5,865.16 is: 8,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.84 : 14,601.54 = 5,865.16 : x
  2. Step 2: Convert to fraction form
    10,580.84/14,601.54 = 5,865.16/x
  3. Step 3: Cross multiply
    10,580.84x = 14,601.54 × 5,865.16
  4. Step 4: Simplify right side
    10,580.84x = 85,640,368.35
  5. Step 5: Solve for x
    x = 85,640,368.35/10,580.84
  6. Step 6: Final answer
    x = 8,093.91

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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.