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Finding the Fourth Proportional to 15,644.84, 21,596.64 and 9,356

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Solution

The fourth proportional to 15,644.84, 21,596.64 and 9,356 is: 12,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.84 : 21,596.64 = 9,356 : x
  2. Step 2: Convert to fraction form
    15,644.84/21,596.64 = 9,356/x
  3. Step 3: Cross multiply
    15,644.84x = 21,596.64 × 9,356
  4. Step 4: Simplify right side
    15,644.84x = 202,058,163.84
  5. Step 5: Solve for x
    x = 202,058,163.84/15,644.84
  6. Step 6: Final answer
    x = 12,915.32

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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.