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Finding the Fourth Proportional to 9,788.70, 14,683.06 and 4,594.58

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Solution

The fourth proportional to 9,788.70, 14,683.06 and 4,594.58 is: 6,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.70 : 14,683.06 = 4,594.58 : x
  2. Step 2: Convert to fraction form
    9,788.70/14,683.06 = 4,594.58/x
  3. Step 3: Cross multiply
    9,788.70x = 14,683.06 × 4,594.58
  4. Step 4: Simplify right side
    9,788.70x = 67,462,493.81
  5. Step 5: Solve for x
    x = 67,462,493.81/9,788.70
  6. Step 6: Final answer
    x = 6,891.87

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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.