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Finding the Fourth Proportional to 12,970.42, 19,455.64 and 3,610.42

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Solution

The fourth proportional to 12,970.42, 19,455.64 and 3,610.42 is: 5,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.42 : 19,455.64 = 3,610.42 : x
  2. Step 2: Convert to fraction form
    12,970.42/19,455.64 = 3,610.42/x
  3. Step 3: Cross multiply
    12,970.42x = 19,455.64 × 3,610.42
  4. Step 4: Simplify right side
    12,970.42x = 70,243,031.77
  5. Step 5: Solve for x
    x = 70,243,031.77/12,970.42
  6. Step 6: Final answer
    x = 5,415.63

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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.