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Finding the Fourth Proportional to 4,646.60, 6,970.12 and 1,872.90

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Solution

The fourth proportional to 4,646.60, 6,970.12 and 1,872.90 is: 2,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.60 : 6,970.12 = 1,872.90 : x
  2. Step 2: Convert to fraction form
    4,646.60/6,970.12 = 1,872.90/x
  3. Step 3: Cross multiply
    4,646.60x = 6,970.12 × 1,872.90
  4. Step 4: Simplify right side
    4,646.60x = 13,054,337.75
  5. Step 5: Solve for x
    x = 13,054,337.75/4,646.60
  6. Step 6: Final answer
    x = 2,809.44

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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.