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Finding the Fourth Proportional to 11,798.48, 16,283.40 and 7,082.48

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Solution

The fourth proportional to 11,798.48, 16,283.40 and 7,082.48 is: 9,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.48 : 16,283.40 = 7,082.48 : x
  2. Step 2: Convert to fraction form
    11,798.48/16,283.40 = 7,082.48/x
  3. Step 3: Cross multiply
    11,798.48x = 16,283.40 × 7,082.48
  4. Step 4: Simplify right side
    11,798.48x = 115,326,854.83
  5. Step 5: Solve for x
    x = 115,326,854.83/11,798.48
  6. Step 6: Final answer
    x = 9,774.72

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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.