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Finding the Fourth Proportional to 9,144, 12,618.81 and 4,952.34

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Solution

The fourth proportional to 9,144, 12,618.81 and 4,952.34 is: 6,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 12,618.81 = 4,952.34 : x
  2. Step 2: Convert to fraction form
    9,144/12,618.81 = 4,952.34/x
  3. Step 3: Cross multiply
    9,144x = 12,618.81 × 4,952.34
  4. Step 4: Simplify right side
    9,144x = 62,492,637.52
  5. Step 5: Solve for x
    x = 62,492,637.52/9,144
  6. Step 6: Final answer
    x = 6,834.28

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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.