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Finding the Fourth Proportional to 10,574.64, 15,865.20 and 6,673.68

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Solution

The fourth proportional to 10,574.64, 15,865.20 and 6,673.68 is: 10,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.64 : 15,865.20 = 6,673.68 : x
  2. Step 2: Convert to fraction form
    10,574.64/15,865.20 = 6,673.68/x
  3. Step 3: Cross multiply
    10,574.64x = 15,865.20 × 6,673.68
  4. Step 4: Simplify right side
    10,574.64x = 105,879,267.94
  5. Step 5: Solve for x
    x = 105,879,267.94/10,574.64
  6. Step 6: Final answer
    x = 10,012.56

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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.