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Finding the Fourth Proportional to 11,492.90, 15,864.22 and 6,776.88

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Solution

The fourth proportional to 11,492.90, 15,864.22 and 6,776.88 is: 9,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.90 : 15,864.22 = 6,776.88 : x
  2. Step 2: Convert to fraction form
    11,492.90/15,864.22 = 6,776.88/x
  3. Step 3: Cross multiply
    11,492.90x = 15,864.22 × 6,776.88
  4. Step 4: Simplify right side
    11,492.90x = 107,509,915.23
  5. Step 5: Solve for x
    x = 107,509,915.23/11,492.90
  6. Step 6: Final answer
    x = 9,354.46

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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.