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Finding the Fourth Proportional to 6,509.04, 9,763.48 and 1,578.73

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Solution

The fourth proportional to 6,509.04, 9,763.48 and 1,578.73 is: 2,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.04 : 9,763.48 = 1,578.73 : x
  2. Step 2: Convert to fraction form
    6,509.04/9,763.48 = 1,578.73/x
  3. Step 3: Cross multiply
    6,509.04x = 9,763.48 × 1,578.73
  4. Step 4: Simplify right side
    6,509.04x = 15,413,898.78
  5. Step 5: Solve for x
    x = 15,413,898.78/6,509.04
  6. Step 6: Final answer
    x = 2,368.08

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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.