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Finding the Fourth Proportional to 9,118.53, 13,683.56 and 5,230.53

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Solution

The fourth proportional to 9,118.53, 13,683.56 and 5,230.53 is: 7,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.53 : 13,683.56 = 5,230.53 : x
  2. Step 2: Convert to fraction form
    9,118.53/13,683.56 = 5,230.53/x
  3. Step 3: Cross multiply
    9,118.53x = 13,683.56 × 5,230.53
  4. Step 4: Simplify right side
    9,118.53x = 71,572,271.09
  5. Step 5: Solve for x
    x = 71,572,271.09/9,118.53
  6. Step 6: Final answer
    x = 7,849.10

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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.