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Finding the Fourth Proportional to 10,594.64, 14,620.16 and 5,878.64

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Solution

The fourth proportional to 10,594.64, 14,620.16 and 5,878.64 is: 8,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.64 : 14,620.16 = 5,878.64 : x
  2. Step 2: Convert to fraction form
    10,594.64/14,620.16 = 5,878.64/x
  3. Step 3: Cross multiply
    10,594.64x = 14,620.16 × 5,878.64
  4. Step 4: Simplify right side
    10,594.64x = 85,946,657.38
  5. Step 5: Solve for x
    x = 85,946,657.38/10,594.64
  6. Step 6: Final answer
    x = 8,112.28

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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.