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Finding the Fourth Proportional to 9,798.84, 14,683.68 and 7,723.89

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Solution

The fourth proportional to 9,798.84, 14,683.68 and 7,723.89 is: 11,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.84 : 14,683.68 = 7,723.89 : x
  2. Step 2: Convert to fraction form
    9,798.84/14,683.68 = 7,723.89/x
  3. Step 3: Cross multiply
    9,798.84x = 14,683.68 × 7,723.89
  4. Step 4: Simplify right side
    9,798.84x = 113,415,129.12
  5. Step 5: Solve for x
    x = 113,415,129.12/9,798.84
  6. Step 6: Final answer
    x = 11,574.34

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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.