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Finding the Fourth Proportional to 9,852.64, 13,596.05 and 5,603.07

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Solution

The fourth proportional to 9,852.64, 13,596.05 and 5,603.07 is: 7,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.64 : 13,596.05 = 5,603.07 : x
  2. Step 2: Convert to fraction form
    9,852.64/13,596.05 = 5,603.07/x
  3. Step 3: Cross multiply
    9,852.64x = 13,596.05 × 5,603.07
  4. Step 4: Simplify right side
    9,852.64x = 76,179,684.87
  5. Step 5: Solve for x
    x = 76,179,684.87/9,852.64
  6. Step 6: Final answer
    x = 7,731.91

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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.