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Finding the Fourth Proportional to 9,616.80, 14,417.10 and 4,999.80

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Solution

The fourth proportional to 9,616.80, 14,417.10 and 4,999.80 is: 7,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.80 : 14,417.10 = 4,999.80 : x
  2. Step 2: Convert to fraction form
    9,616.80/14,417.10 = 4,999.80/x
  3. Step 3: Cross multiply
    9,616.80x = 14,417.10 × 4,999.80
  4. Step 4: Simplify right side
    9,616.80x = 72,082,616.58
  5. Step 5: Solve for x
    x = 72,082,616.58/9,616.80
  6. Step 6: Final answer
    x = 7,495.49

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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.