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Finding the Fourth Proportional to 10,810.40, 14,918.30 and 5,842.40

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Solution

The fourth proportional to 10,810.40, 14,918.30 and 5,842.40 is: 8,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.40 : 14,918.30 = 5,842.40 : x
  2. Step 2: Convert to fraction form
    10,810.40/14,918.30 = 5,842.40/x
  3. Step 3: Cross multiply
    10,810.40x = 14,918.30 × 5,842.40
  4. Step 4: Simplify right side
    10,810.40x = 87,158,675.92
  5. Step 5: Solve for x
    x = 87,158,675.92/10,810.40
  6. Step 6: Final answer
    x = 8,062.48

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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.