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Finding the Fourth Proportional to 7,967.16, 11,956.47 and 2,970.22

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Solution

The fourth proportional to 7,967.16, 11,956.47 and 2,970.22 is: 4,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.16 : 11,956.47 = 2,970.22 : x
  2. Step 2: Convert to fraction form
    7,967.16/11,956.47 = 2,970.22/x
  3. Step 3: Cross multiply
    7,967.16x = 11,956.47 × 2,970.22
  4. Step 4: Simplify right side
    7,967.16x = 35,513,346.32
  5. Step 5: Solve for x
    x = 35,513,346.32/7,967.16
  6. Step 6: Final answer
    x = 4,457.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.