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Finding the Fourth Proportional to 9,774.84, 14,662.26 and 5,083.32

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Solution

The fourth proportional to 9,774.84, 14,662.26 and 5,083.32 is: 7,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 14,662.26 = 5,083.32 : x
  2. Step 2: Convert to fraction form
    9,774.84/14,662.26 = 5,083.32/x
  3. Step 3: Cross multiply
    9,774.84x = 14,662.26 × 5,083.32
  4. Step 4: Simplify right side
    9,774.84x = 74,532,959.50
  5. Step 5: Solve for x
    x = 74,532,959.50/9,774.84
  6. Step 6: Final answer
    x = 7,624.98

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Similar ratio
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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.