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Finding the Fourth Proportional to 4,677.84, 7,019.64 and 4,498.20

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Solution

The fourth proportional to 4,677.84, 7,019.64 and 4,498.20 is: 6,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.84 : 7,019.64 = 4,498.20 : x
  2. Step 2: Convert to fraction form
    4,677.84/7,019.64 = 4,498.20/x
  3. Step 3: Cross multiply
    4,677.84x = 7,019.64 × 4,498.20
  4. Step 4: Simplify right side
    4,677.84x = 31,575,744.65
  5. Step 5: Solve for x
    x = 31,575,744.65/4,677.84
  6. Step 6: Final answer
    x = 6,750.07

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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.