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Finding the Fourth Proportional to 7,047.85, 9,719.32 and 4,214.76

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Solution

The fourth proportional to 7,047.85, 9,719.32 and 4,214.76 is: 5,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.85 : 9,719.32 = 4,214.76 : x
  2. Step 2: Convert to fraction form
    7,047.85/9,719.32 = 4,214.76/x
  3. Step 3: Cross multiply
    7,047.85x = 9,719.32 × 4,214.76
  4. Step 4: Simplify right side
    7,047.85x = 40,964,580.09
  5. Step 5: Solve for x
    x = 40,964,580.09/7,047.85
  6. Step 6: Final answer
    x = 5,812.35

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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.