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Finding the Fourth Proportional to 7,814.64, 10,788.12 and 6,042.24

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Solution

The fourth proportional to 7,814.64, 10,788.12 and 6,042.24 is: 8,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.64 : 10,788.12 = 6,042.24 : x
  2. Step 2: Convert to fraction form
    7,814.64/10,788.12 = 6,042.24/x
  3. Step 3: Cross multiply
    7,814.64x = 10,788.12 × 6,042.24
  4. Step 4: Simplify right side
    7,814.64x = 65,184,410.19
  5. Step 5: Solve for x
    x = 65,184,410.19/7,814.64
  6. Step 6: Final answer
    x = 8,341.32

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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.