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Finding the Fourth Proportional to 9,774.98, 14,662.33 and 2,379.45

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Solution

The fourth proportional to 9,774.98, 14,662.33 and 2,379.45 is: 3,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.98 : 14,662.33 = 2,379.45 : x
  2. Step 2: Convert to fraction form
    9,774.98/14,662.33 = 2,379.45/x
  3. Step 3: Cross multiply
    9,774.98x = 14,662.33 × 2,379.45
  4. Step 4: Simplify right side
    9,774.98x = 34,888,275.17
  5. Step 5: Solve for x
    x = 34,888,275.17/9,774.98
  6. Step 6: Final answer
    x = 3,569.14

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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.