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Finding the Fourth Proportional to 16,683.99, 23,022.99 and 9,130.32

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Solution

The fourth proportional to 16,683.99, 23,022.99 and 9,130.32 is: 12,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.99 : 23,022.99 = 9,130.32 : x
  2. Step 2: Convert to fraction form
    16,683.99/23,022.99 = 9,130.32/x
  3. Step 3: Cross multiply
    16,683.99x = 23,022.99 × 9,130.32
  4. Step 4: Simplify right side
    16,683.99x = 210,207,266.06
  5. Step 5: Solve for x
    x = 210,207,266.06/16,683.99
  6. Step 6: Final answer
    x = 12,599.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.