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Finding the Fourth Proportional to 7,697.57, 11,547.56 and 3,316.28

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Solution

The fourth proportional to 7,697.57, 11,547.56 and 3,316.28 is: 4,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.57 : 11,547.56 = 3,316.28 : x
  2. Step 2: Convert to fraction form
    7,697.57/11,547.56 = 3,316.28/x
  3. Step 3: Cross multiply
    7,697.57x = 11,547.56 × 3,316.28
  4. Step 4: Simplify right side
    7,697.57x = 38,294,892.83
  5. Step 5: Solve for x
    x = 38,294,892.83/7,697.57
  6. Step 6: Final answer
    x = 4,974.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.