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Finding the Fourth Proportional to 7,970.58, 10,994.31 and 5,141.58

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Solution

The fourth proportional to 7,970.58, 10,994.31 and 5,141.58 is: 7,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.58 : 10,994.31 = 5,141.58 : x
  2. Step 2: Convert to fraction form
    7,970.58/10,994.31 = 5,141.58/x
  3. Step 3: Cross multiply
    7,970.58x = 10,994.31 × 5,141.58
  4. Step 4: Simplify right side
    7,970.58x = 56,528,124.41
  5. Step 5: Solve for x
    x = 56,528,124.41/7,970.58
  6. Step 6: Final answer
    x = 7,092.10

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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.