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Finding the Fourth Proportional to 9,763.56, 14,616.18 and 6,646.68

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Solution

The fourth proportional to 9,763.56, 14,616.18 and 6,646.68 is: 9,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.56 : 14,616.18 = 6,646.68 : x
  2. Step 2: Convert to fraction form
    9,763.56/14,616.18 = 6,646.68/x
  3. Step 3: Cross multiply
    9,763.56x = 14,616.18 × 6,646.68
  4. Step 4: Simplify right side
    9,763.56x = 97,149,071.28
  5. Step 5: Solve for x
    x = 97,149,071.28/9,763.56
  6. Step 6: Final answer
    x = 9,950.17

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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.