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Finding the Fourth Proportional to 11,492.98, 15,854.35 and 7,717.46

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Solution

The fourth proportional to 11,492.98, 15,854.35 and 7,717.46 is: 10,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.98 : 15,854.35 = 7,717.46 : x
  2. Step 2: Convert to fraction form
    11,492.98/15,854.35 = 7,717.46/x
  3. Step 3: Cross multiply
    11,492.98x = 15,854.35 × 7,717.46
  4. Step 4: Simplify right side
    11,492.98x = 122,355,317.04
  5. Step 5: Solve for x
    x = 122,355,317.04/11,492.98
  6. Step 6: Final answer
    x = 10,646.09

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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.