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Finding the Fourth Proportional to 9,641, 14,461.52 and 2,345

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Solution

The fourth proportional to 9,641, 14,461.52 and 2,345 is: 3,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 14,461.52 = 2,345 : x
  2. Step 2: Convert to fraction form
    9,641/14,461.52 = 2,345/x
  3. Step 3: Cross multiply
    9,641x = 14,461.52 × 2,345
  4. Step 4: Simplify right side
    9,641x = 33,912,264.40
  5. Step 5: Solve for x
    x = 33,912,264.40/9,641
  6. Step 6: Final answer
    x = 3,517.50

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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.