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Finding the Fourth Proportional to 7,210.92, 9,956.70 and 5,643.48

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Solution

The fourth proportional to 7,210.92, 9,956.70 and 5,643.48 is: 7,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.92 : 9,956.70 = 5,643.48 : x
  2. Step 2: Convert to fraction form
    7,210.92/9,956.70 = 5,643.48/x
  3. Step 3: Cross multiply
    7,210.92x = 9,956.70 × 5,643.48
  4. Step 4: Simplify right side
    7,210.92x = 56,190,437.32
  5. Step 5: Solve for x
    x = 56,190,437.32/7,210.92
  6. Step 6: Final answer
    x = 7,792.41

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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.