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Finding the Fourth Proportional to 7,952.02, 10,971.57 and 4,970.89

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Solution

The fourth proportional to 7,952.02, 10,971.57 and 4,970.89 is: 6,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.02 : 10,971.57 = 4,970.89 : x
  2. Step 2: Convert to fraction form
    7,952.02/10,971.57 = 4,970.89/x
  3. Step 3: Cross multiply
    7,952.02x = 10,971.57 × 4,970.89
  4. Step 4: Simplify right side
    7,952.02x = 54,538,467.60
  5. Step 5: Solve for x
    x = 54,538,467.60/7,952.02
  6. Step 6: Final answer
    x = 6,858.44

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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.