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Finding the Fourth Proportional to 5,259.94, 7,887.48 and 1,970.68

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Solution

The fourth proportional to 5,259.94, 7,887.48 and 1,970.68 is: 2,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 7,887.48 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    5,259.94/7,887.48 = 1,970.68/x
  3. Step 3: Cross multiply
    5,259.94x = 7,887.48 × 1,970.68
  4. Step 4: Simplify right side
    5,259.94x = 15,543,699.09
  5. Step 5: Solve for x
    x = 15,543,699.09/5,259.94
  6. Step 6: Final answer
    x = 2,955.11

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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.