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Finding the Fourth Proportional to 10,693.84, 16,100.20 and 9,265

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Solution

The fourth proportional to 10,693.84, 16,100.20 and 9,265 is: 13,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.84 : 16,100.20 = 9,265 : x
  2. Step 2: Convert to fraction form
    10,693.84/16,100.20 = 9,265/x
  3. Step 3: Cross multiply
    10,693.84x = 16,100.20 × 9,265
  4. Step 4: Simplify right side
    10,693.84x = 149,168,353
  5. Step 5: Solve for x
    x = 149,168,353/10,693.84
  6. Step 6: Final answer
    x = 13,949.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.