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Finding the Fourth Proportional to 8,447.42, 11,657.12 and 4,670.49

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Solution

The fourth proportional to 8,447.42, 11,657.12 and 4,670.49 is: 6,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.42 : 11,657.12 = 4,670.49 : x
  2. Step 2: Convert to fraction form
    8,447.42/11,657.12 = 4,670.49/x
  3. Step 3: Cross multiply
    8,447.42x = 11,657.12 × 4,670.49
  4. Step 4: Simplify right side
    8,447.42x = 54,444,482.75
  5. Step 5: Solve for x
    x = 54,444,482.75/8,447.42
  6. Step 6: Final answer
    x = 6,445.10

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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.