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Finding the Fourth Proportional to 9,828.47, 13,562.93 and 5,352.11

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Solution

The fourth proportional to 9,828.47, 13,562.93 and 5,352.11 is: 7,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.47 : 13,562.93 = 5,352.11 : x
  2. Step 2: Convert to fraction form
    9,828.47/13,562.93 = 5,352.11/x
  3. Step 3: Cross multiply
    9,828.47x = 13,562.93 × 5,352.11
  4. Step 4: Simplify right side
    9,828.47x = 72,590,266.52
  5. Step 5: Solve for x
    x = 72,590,266.52/9,828.47
  6. Step 6: Final answer
    x = 7,385.71

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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.