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Finding the Fourth Proportional to 9,114.88, 12,578.53 and 4,923.13

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Solution

The fourth proportional to 9,114.88, 12,578.53 and 4,923.13 is: 6,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.88 : 12,578.53 = 4,923.13 : x
  2. Step 2: Convert to fraction form
    9,114.88/12,578.53 = 4,923.13/x
  3. Step 3: Cross multiply
    9,114.88x = 12,578.53 × 4,923.13
  4. Step 4: Simplify right side
    9,114.88x = 61,925,738.40
  5. Step 5: Solve for x
    x = 61,925,738.40/9,114.88
  6. Step 6: Final answer
    x = 6,793.92

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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.