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Finding the Fourth Proportional to 5,303.61, 7,952.90 and 1,969.56

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Solution

The fourth proportional to 5,303.61, 7,952.90 and 1,969.56 is: 2,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.61 : 7,952.90 = 1,969.56 : x
  2. Step 2: Convert to fraction form
    5,303.61/7,952.90 = 1,969.56/x
  3. Step 3: Cross multiply
    5,303.61x = 7,952.90 × 1,969.56
  4. Step 4: Simplify right side
    5,303.61x = 15,663,703.88
  5. Step 5: Solve for x
    x = 15,663,703.88/5,303.61
  6. Step 6: Final answer
    x = 2,953.40

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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.