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Finding the Fourth Proportional to 15,082.35, 20,813.64 and 8,368.05

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Solution

The fourth proportional to 15,082.35, 20,813.64 and 8,368.05 is: 11,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.35 : 20,813.64 = 8,368.05 : x
  2. Step 2: Convert to fraction form
    15,082.35/20,813.64 = 8,368.05/x
  3. Step 3: Cross multiply
    15,082.35x = 20,813.64 × 8,368.05
  4. Step 4: Simplify right side
    15,082.35x = 174,169,580.20
  5. Step 5: Solve for x
    x = 174,169,580.20/15,082.35
  6. Step 6: Final answer
    x = 11,547.91

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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.