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Finding the Fourth Proportional to 9,705.98, 14,559.03 and 4,154.64

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Solution

The fourth proportional to 9,705.98, 14,559.03 and 4,154.64 is: 6,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.98 : 14,559.03 = 4,154.64 : x
  2. Step 2: Convert to fraction form
    9,705.98/14,559.03 = 4,154.64/x
  3. Step 3: Cross multiply
    9,705.98x = 14,559.03 × 4,154.64
  4. Step 4: Simplify right side
    9,705.98x = 60,487,528.40
  5. Step 5: Solve for x
    x = 60,487,528.40/9,705.98
  6. Step 6: Final answer
    x = 6,231.99

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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.