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Finding the Fourth Proportional to 9,492, 14,225.49 and 8,253.51

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Solution

The fourth proportional to 9,492, 14,225.49 and 8,253.51 is: 12,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492 : 14,225.49 = 8,253.51 : x
  2. Step 2: Convert to fraction form
    9,492/14,225.49 = 8,253.51/x
  3. Step 3: Cross multiply
    9,492x = 14,225.49 × 8,253.51
  4. Step 4: Simplify right side
    9,492x = 117,410,223.97
  5. Step 5: Solve for x
    x = 117,410,223.97/9,492
  6. Step 6: Final answer
    x = 12,369.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.