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Finding the Fourth Proportional to 7,594.65, 10,480.68 and 4,237.43

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Solution

The fourth proportional to 7,594.65, 10,480.68 and 4,237.43 is: 5,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.65 : 10,480.68 = 4,237.43 : x
  2. Step 2: Convert to fraction form
    7,594.65/10,480.68 = 4,237.43/x
  3. Step 3: Cross multiply
    7,594.65x = 10,480.68 × 4,237.43
  4. Step 4: Simplify right side
    7,594.65x = 44,411,095.45
  5. Step 5: Solve for x
    x = 44,411,095.45/7,594.65
  6. Step 6: Final answer
    x = 5,847.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.