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Finding the Fourth Proportional to 6,871.50, 9,482.70 and 4,218.84

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Solution

The fourth proportional to 6,871.50, 9,482.70 and 4,218.84 is: 5,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.50 : 9,482.70 = 4,218.84 : x
  2. Step 2: Convert to fraction form
    6,871.50/9,482.70 = 4,218.84/x
  3. Step 3: Cross multiply
    6,871.50x = 9,482.70 × 4,218.84
  4. Step 4: Simplify right side
    6,871.50x = 40,005,994.07
  5. Step 5: Solve for x
    x = 40,005,994.07/6,871.50
  6. Step 6: Final answer
    x = 5,822.02

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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.