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Finding the Fourth Proportional to 6,552.04, 9,043.30 and 4,457

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Solution

The fourth proportional to 6,552.04, 9,043.30 and 4,457 is: 6,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.04 : 9,043.30 = 4,457 : x
  2. Step 2: Convert to fraction form
    6,552.04/9,043.30 = 4,457/x
  3. Step 3: Cross multiply
    6,552.04x = 9,043.30 × 4,457
  4. Step 4: Simplify right side
    6,552.04x = 40,305,988.10
  5. Step 5: Solve for x
    x = 40,305,988.10/6,552.04
  6. Step 6: Final answer
    x = 6,151.67

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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.