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Finding the Fourth Proportional to 10,800.96, 14,905.02 and 6,085.14

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Solution

The fourth proportional to 10,800.96, 14,905.02 and 6,085.14 is: 8,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.96 : 14,905.02 = 6,085.14 : x
  2. Step 2: Convert to fraction form
    10,800.96/14,905.02 = 6,085.14/x
  3. Step 3: Cross multiply
    10,800.96x = 14,905.02 × 6,085.14
  4. Step 4: Simplify right side
    10,800.96x = 90,699,133.40
  5. Step 5: Solve for x
    x = 90,699,133.40/10,800.96
  6. Step 6: Final answer
    x = 8,397.32

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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.