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Finding the Fourth Proportional to 10,810.49, 14,918.48 and 5,842.49

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Solution

The fourth proportional to 10,810.49, 14,918.48 and 5,842.49 is: 8,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.49 : 14,918.48 = 5,842.49 : x
  2. Step 2: Convert to fraction form
    10,810.49/14,918.48 = 5,842.49/x
  3. Step 3: Cross multiply
    10,810.49x = 14,918.48 × 5,842.49
  4. Step 4: Simplify right side
    10,810.49x = 87,161,070.22
  5. Step 5: Solve for x
    x = 87,161,070.22/10,810.49
  6. Step 6: Final answer
    x = 8,062.64

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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.