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Finding the Fourth Proportional to 10,047.96, 13,862.73 and 5,798.88

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Solution

The fourth proportional to 10,047.96, 13,862.73 and 5,798.88 is: 8,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.96 : 13,862.73 = 5,798.88 : x
  2. Step 2: Convert to fraction form
    10,047.96/13,862.73 = 5,798.88/x
  3. Step 3: Cross multiply
    10,047.96x = 13,862.73 × 5,798.88
  4. Step 4: Simplify right side
    10,047.96x = 80,388,307.74
  5. Step 5: Solve for x
    x = 80,388,307.74/10,047.96
  6. Step 6: Final answer
    x = 8,000.46

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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.