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Finding the Fourth Proportional to 9,683.70, 14,530.95 and 4,136.10

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Solution

The fourth proportional to 9,683.70, 14,530.95 and 4,136.10 is: 6,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,530.95 = 4,136.10 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,530.95 = 4,136.10/x
  3. Step 3: Cross multiply
    9,683.70x = 14,530.95 × 4,136.10
  4. Step 4: Simplify right side
    9,683.70x = 60,101,462.30
  5. Step 5: Solve for x
    x = 60,101,462.30/9,683.70
  6. Step 6: Final answer
    x = 6,206.46

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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.