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Finding the Fourth Proportional to 7,698.64, 10,622.16 and 4,713.40

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Solution

The fourth proportional to 7,698.64, 10,622.16 and 4,713.40 is: 6,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.64 : 10,622.16 = 4,713.40 : x
  2. Step 2: Convert to fraction form
    7,698.64/10,622.16 = 4,713.40/x
  3. Step 3: Cross multiply
    7,698.64x = 10,622.16 × 4,713.40
  4. Step 4: Simplify right side
    7,698.64x = 50,066,488.94
  5. Step 5: Solve for x
    x = 50,066,488.94/7,698.64
  6. Step 6: Final answer
    x = 6,503.29

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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.