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Finding the Fourth Proportional to 4,871.76, 7,307.02 and 1,950.09

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Solution

The fourth proportional to 4,871.76, 7,307.02 and 1,950.09 is: 2,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.76 : 7,307.02 = 1,950.09 : x
  2. Step 2: Convert to fraction form
    4,871.76/7,307.02 = 1,950.09/x
  3. Step 3: Cross multiply
    4,871.76x = 7,307.02 × 1,950.09
  4. Step 4: Simplify right side
    4,871.76x = 14,249,346.63
  5. Step 5: Solve for x
    x = 14,249,346.63/4,871.76
  6. Step 6: Final answer
    x = 2,924.89

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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.