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Finding the Fourth Proportional to 8,466.96, 12,678.56 and 5,842.56

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Solution

The fourth proportional to 8,466.96, 12,678.56 and 5,842.56 is: 8,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.96 : 12,678.56 = 5,842.56 : x
  2. Step 2: Convert to fraction form
    8,466.96/12,678.56 = 5,842.56/x
  3. Step 3: Cross multiply
    8,466.96x = 12,678.56 × 5,842.56
  4. Step 4: Simplify right side
    8,466.96x = 74,075,247.51
  5. Step 5: Solve for x
    x = 74,075,247.51/8,466.96
  6. Step 6: Final answer
    x = 8,748.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.