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Finding the Fourth Proportional to 4,646.40, 6,970.10 and 2,014.18

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Solution

The fourth proportional to 4,646.40, 6,970.10 and 2,014.18 is: 3,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.40 : 6,970.10 = 2,014.18 : x
  2. Step 2: Convert to fraction form
    4,646.40/6,970.10 = 2,014.18/x
  3. Step 3: Cross multiply
    4,646.40x = 6,970.10 × 2,014.18
  4. Step 4: Simplify right side
    4,646.40x = 14,039,036.02
  5. Step 5: Solve for x
    x = 14,039,036.02/4,646.40
  6. Step 6: Final answer
    x = 3,021.49

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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.