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Finding the Fourth Proportional to 7,656.76, 11,554.06 and 7,382.17

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Solution

The fourth proportional to 7,656.76, 11,554.06 and 7,382.17 is: 11,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.76 : 11,554.06 = 7,382.17 : x
  2. Step 2: Convert to fraction form
    7,656.76/11,554.06 = 7,382.17/x
  3. Step 3: Cross multiply
    7,656.76x = 11,554.06 × 7,382.17
  4. Step 4: Simplify right side
    7,656.76x = 85,294,035.11
  5. Step 5: Solve for x
    x = 85,294,035.11/7,656.76
  6. Step 6: Final answer
    x = 11,139.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.