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Finding the Fourth Proportional to 9,702.44, 13,389 and 5,510.24

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Solution

The fourth proportional to 9,702.44, 13,389 and 5,510.24 is: 7,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.44 : 13,389 = 5,510.24 : x
  2. Step 2: Convert to fraction form
    9,702.44/13,389 = 5,510.24/x
  3. Step 3: Cross multiply
    9,702.44x = 13,389 × 5,510.24
  4. Step 4: Simplify right side
    9,702.44x = 73,776,603.36
  5. Step 5: Solve for x
    x = 73,776,603.36/9,702.44
  6. Step 6: Final answer
    x = 7,603.92

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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.