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Finding the Fourth Proportional to 34,880.94, 52,323.23 and 11,509.20

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Solution

The fourth proportional to 34,880.94, 52,323.23 and 11,509.20 is: 17,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880.94 : 52,323.23 = 11,509.20 : x
  2. Step 2: Convert to fraction form
    34,880.94/52,323.23 = 11,509.20/x
  3. Step 3: Cross multiply
    34,880.94x = 52,323.23 × 11,509.20
  4. Step 4: Simplify right side
    34,880.94x = 602,198,461.17
  5. Step 5: Solve for x
    x = 602,198,461.17/34,880.94
  6. Step 6: Final answer
    x = 17,264.40

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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.