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Finding the Fourth Proportional to 10,005.20, 15,007.80 and 6,894.80

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Solution

The fourth proportional to 10,005.20, 15,007.80 and 6,894.80 is: 10,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.20 : 15,007.80 = 6,894.80 : x
  2. Step 2: Convert to fraction form
    10,005.20/15,007.80 = 6,894.80/x
  3. Step 3: Cross multiply
    10,005.20x = 15,007.80 × 6,894.80
  4. Step 4: Simplify right side
    10,005.20x = 103,475,779.44
  5. Step 5: Solve for x
    x = 103,475,779.44/10,005.20
  6. Step 6: Final answer
    x = 10,342.20

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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.