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Finding the Fourth Proportional to 9,702.68, 13,390.02 and 5,454.48

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Solution

The fourth proportional to 9,702.68, 13,390.02 and 5,454.48 is: 7,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.68 : 13,390.02 = 5,454.48 : x
  2. Step 2: Convert to fraction form
    9,702.68/13,390.02 = 5,454.48/x
  3. Step 3: Cross multiply
    9,702.68x = 13,390.02 × 5,454.48
  4. Step 4: Simplify right side
    9,702.68x = 73,035,596.29
  5. Step 5: Solve for x
    x = 73,035,596.29/9,702.68
  6. Step 6: Final answer
    x = 7,527.36

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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.