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Finding the Fourth Proportional to 9,252.56, 12,749.64 and 6,594.32

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Solution

The fourth proportional to 9,252.56, 12,749.64 and 6,594.32 is: 9,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.56 : 12,749.64 = 6,594.32 : x
  2. Step 2: Convert to fraction form
    9,252.56/12,749.64 = 6,594.32/x
  3. Step 3: Cross multiply
    9,252.56x = 12,749.64 × 6,594.32
  4. Step 4: Simplify right side
    9,252.56x = 84,075,206.04
  5. Step 5: Solve for x
    x = 84,075,206.04/9,252.56
  6. Step 6: Final answer
    x = 9,086.70

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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.