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Finding the Fourth Proportional to 9,775.53, 13,476.15 and 6,976.17

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Solution

The fourth proportional to 9,775.53, 13,476.15 and 6,976.17 is: 9,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.53 : 13,476.15 = 6,976.17 : x
  2. Step 2: Convert to fraction form
    9,775.53/13,476.15 = 6,976.17/x
  3. Step 3: Cross multiply
    9,775.53x = 13,476.15 × 6,976.17
  4. Step 4: Simplify right side
    9,775.53x = 94,011,913.35
  5. Step 5: Solve for x
    x = 94,011,913.35/9,775.53
  6. Step 6: Final answer
    x = 9,617.07

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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.