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Finding the Fourth Proportional to 8,970.53, 12,379.32 and 4,991.64

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Solution

The fourth proportional to 8,970.53, 12,379.32 and 4,991.64 is: 6,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.53 : 12,379.32 = 4,991.64 : x
  2. Step 2: Convert to fraction form
    8,970.53/12,379.32 = 4,991.64/x
  3. Step 3: Cross multiply
    8,970.53x = 12,379.32 × 4,991.64
  4. Step 4: Simplify right side
    8,970.53x = 61,793,046.99
  5. Step 5: Solve for x
    x = 61,793,046.99/8,970.53
  6. Step 6: Final answer
    x = 6,888.45

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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.