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Finding the Fourth Proportional to 9,828.96, 13,564.02 and 5,352.70

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Solution

The fourth proportional to 9,828.96, 13,564.02 and 5,352.70 is: 7,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.96 : 13,564.02 = 5,352.70 : x
  2. Step 2: Convert to fraction form
    9,828.96/13,564.02 = 5,352.70/x
  3. Step 3: Cross multiply
    9,828.96x = 13,564.02 × 5,352.70
  4. Step 4: Simplify right side
    9,828.96x = 72,604,129.85
  5. Step 5: Solve for x
    x = 72,604,129.85/9,828.96
  6. Step 6: Final answer
    x = 7,386.76

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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.