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Finding the Fourth Proportional to 12,029.92, 16,590.52 and 7,554.08

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Solution

The fourth proportional to 12,029.92, 16,590.52 and 7,554.08 is: 10,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.92 : 16,590.52 = 7,554.08 : x
  2. Step 2: Convert to fraction form
    12,029.92/16,590.52 = 7,554.08/x
  3. Step 3: Cross multiply
    12,029.92x = 16,590.52 × 7,554.08
  4. Step 4: Simplify right side
    12,029.92x = 125,326,115.32
  5. Step 5: Solve for x
    x = 125,326,115.32/12,029.92
  6. Step 6: Final answer
    x = 10,417.87

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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.