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Finding the Fourth Proportional to 10,495.90, 14,480.64 and 6,719.68

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Solution

The fourth proportional to 10,495.90, 14,480.64 and 6,719.68 is: 9,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.90 : 14,480.64 = 6,719.68 : x
  2. Step 2: Convert to fraction form
    10,495.90/14,480.64 = 6,719.68/x
  3. Step 3: Cross multiply
    10,495.90x = 14,480.64 × 6,719.68
  4. Step 4: Simplify right side
    10,495.90x = 97,305,267.00
  5. Step 5: Solve for x
    x = 97,305,267.00/10,495.90
  6. Step 6: Final answer
    x = 9,270.79

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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.