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Finding the Fourth Proportional to 7,066.32, 9,749.76 and 4,412.76

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Solution

The fourth proportional to 7,066.32, 9,749.76 and 4,412.76 is: 6,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.32 : 9,749.76 = 4,412.76 : x
  2. Step 2: Convert to fraction form
    7,066.32/9,749.76 = 4,412.76/x
  3. Step 3: Cross multiply
    7,066.32x = 9,749.76 × 4,412.76
  4. Step 4: Simplify right side
    7,066.32x = 43,023,350.94
  5. Step 5: Solve for x
    x = 43,023,350.94/7,066.32
  6. Step 6: Final answer
    x = 6,088.51

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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.