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Finding the Fourth Proportional to 34,683.99, 52,034.80 and 9,724.15

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Solution

The fourth proportional to 34,683.99, 52,034.80 and 9,724.15 is: 14,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.99 : 52,034.80 = 9,724.15 : x
  2. Step 2: Convert to fraction form
    34,683.99/52,034.80 = 9,724.15/x
  3. Step 3: Cross multiply
    34,683.99x = 52,034.80 × 9,724.15
  4. Step 4: Simplify right side
    34,683.99x = 505,994,200.42
  5. Step 5: Solve for x
    x = 505,994,200.42/34,683.99
  6. Step 6: Final answer
    x = 14,588.70

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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.