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Finding the Fourth Proportional to 7,164.39, 10,746.36 and 1,970.22

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Solution

The fourth proportional to 7,164.39, 10,746.36 and 1,970.22 is: 2,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.39 : 10,746.36 = 1,970.22 : x
  2. Step 2: Convert to fraction form
    7,164.39/10,746.36 = 1,970.22/x
  3. Step 3: Cross multiply
    7,164.39x = 10,746.36 × 1,970.22
  4. Step 4: Simplify right side
    7,164.39x = 21,172,693.40
  5. Step 5: Solve for x
    x = 21,172,693.40/7,164.39
  6. Step 6: Final answer
    x = 2,955.27

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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.