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Finding the Fourth Proportional to 11,951.19, 16,492 and 6,915.49

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Solution

The fourth proportional to 11,951.19, 16,492 and 6,915.49 is: 9,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.19 : 16,492 = 6,915.49 : x
  2. Step 2: Convert to fraction form
    11,951.19/16,492 = 6,915.49/x
  3. Step 3: Cross multiply
    11,951.19x = 16,492 × 6,915.49
  4. Step 4: Simplify right side
    11,951.19x = 114,050,261.08
  5. Step 5: Solve for x
    x = 114,050,261.08/11,951.19
  6. Step 6: Final answer
    x = 9,543.00

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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.