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Finding the Fourth Proportional to 6,457.24, 9,700.44 and 5,582.44

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Solution

The fourth proportional to 6,457.24, 9,700.44 and 5,582.44 is: 8,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.24 : 9,700.44 = 5,582.44 : x
  2. Step 2: Convert to fraction form
    6,457.24/9,700.44 = 5,582.44/x
  3. Step 3: Cross multiply
    6,457.24x = 9,700.44 × 5,582.44
  4. Step 4: Simplify right side
    6,457.24x = 54,152,124.27
  5. Step 5: Solve for x
    x = 54,152,124.27/6,457.24
  6. Step 6: Final answer
    x = 8,386.26

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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.