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Finding the Fourth Proportional to 6,214.53, 8,572.32 and 4,533.90

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Solution

The fourth proportional to 6,214.53, 8,572.32 and 4,533.90 is: 6,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.53 : 8,572.32 = 4,533.90 : x
  2. Step 2: Convert to fraction form
    6,214.53/8,572.32 = 4,533.90/x
  3. Step 3: Cross multiply
    6,214.53x = 8,572.32 × 4,533.90
  4. Step 4: Simplify right side
    6,214.53x = 38,866,041.65
  5. Step 5: Solve for x
    x = 38,866,041.65/6,214.53
  6. Step 6: Final answer
    x = 6,254.06

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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.