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Finding the Fourth Proportional to 7,706.53, 11,492.20 and 7,636.40

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Solution

The fourth proportional to 7,706.53, 11,492.20 and 7,636.40 is: 11,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.53 : 11,492.20 = 7,636.40 : x
  2. Step 2: Convert to fraction form
    7,706.53/11,492.20 = 7,636.40/x
  3. Step 3: Cross multiply
    7,706.53x = 11,492.20 × 7,636.40
  4. Step 4: Simplify right side
    7,706.53x = 87,759,036.08
  5. Step 5: Solve for x
    x = 87,759,036.08/7,706.53
  6. Step 6: Final answer
    x = 11,387.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.