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Finding the Fourth Proportional to 10,575.34, 14,594.49 and 5,859.64

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Solution

The fourth proportional to 10,575.34, 14,594.49 and 5,859.64 is: 8,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.34 : 14,594.49 = 5,859.64 : x
  2. Step 2: Convert to fraction form
    10,575.34/14,594.49 = 5,859.64/x
  3. Step 3: Cross multiply
    10,575.34x = 14,594.49 × 5,859.64
  4. Step 4: Simplify right side
    10,575.34x = 85,518,457.38
  5. Step 5: Solve for x
    x = 85,518,457.38/10,575.34
  6. Step 6: Final answer
    x = 8,086.59

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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.