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Finding the Fourth Proportional to 8,416.47, 11,614.78 and 4,830.47

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Solution

The fourth proportional to 8,416.47, 11,614.78 and 4,830.47 is: 6,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.47 : 11,614.78 = 4,830.47 : x
  2. Step 2: Convert to fraction form
    8,416.47/11,614.78 = 4,830.47/x
  3. Step 3: Cross multiply
    8,416.47x = 11,614.78 × 4,830.47
  4. Step 4: Simplify right side
    8,416.47x = 56,104,846.35
  5. Step 5: Solve for x
    x = 56,104,846.35/8,416.47
  6. Step 6: Final answer
    x = 6,666.08

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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.