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Finding the Fourth Proportional to 9,774.16, 14,661.24 and 2,378.62

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Solution

The fourth proportional to 9,774.16, 14,661.24 and 2,378.62 is: 3,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.16 : 14,661.24 = 2,378.62 : x
  2. Step 2: Convert to fraction form
    9,774.16/14,661.24 = 2,378.62/x
  3. Step 3: Cross multiply
    9,774.16x = 14,661.24 × 2,378.62
  4. Step 4: Simplify right side
    9,774.16x = 34,873,482.04
  5. Step 5: Solve for x
    x = 34,873,482.04/9,774.16
  6. Step 6: Final answer
    x = 3,567.93

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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.