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Finding the Fourth Proportional to 6,509.68, 9,774.24 and 6,412.48

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Solution

The fourth proportional to 6,509.68, 9,774.24 and 6,412.48 is: 9,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.68 : 9,774.24 = 6,412.48 : x
  2. Step 2: Convert to fraction form
    6,509.68/9,774.24 = 6,412.48/x
  3. Step 3: Cross multiply
    6,509.68x = 9,774.24 × 6,412.48
  4. Step 4: Simplify right side
    6,509.68x = 62,677,118.52
  5. Step 5: Solve for x
    x = 62,677,118.52/6,509.68
  6. Step 6: Final answer
    x = 9,628.29

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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.