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Finding the Fourth Proportional to 9,057.70, 13,594.70 and 4,618.32

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Solution

The fourth proportional to 9,057.70, 13,594.70 and 4,618.32 is: 6,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.70 : 13,594.70 = 4,618.32 : x
  2. Step 2: Convert to fraction form
    9,057.70/13,594.70 = 4,618.32/x
  3. Step 3: Cross multiply
    9,057.70x = 13,594.70 × 4,618.32
  4. Step 4: Simplify right side
    9,057.70x = 62,784,674.90
  5. Step 5: Solve for x
    x = 62,784,674.90/9,057.70
  6. Step 6: Final answer
    x = 6,931.64

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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.