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Finding the Fourth Proportional to 9,593.46, 14,382.90 and 7,960.50

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Solution

The fourth proportional to 9,593.46, 14,382.90 and 7,960.50 is: 11,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.46 : 14,382.90 = 7,960.50 : x
  2. Step 2: Convert to fraction form
    9,593.46/14,382.90 = 7,960.50/x
  3. Step 3: Cross multiply
    9,593.46x = 14,382.90 × 7,960.50
  4. Step 4: Simplify right side
    9,593.46x = 114,495,075.45
  5. Step 5: Solve for x
    x = 114,495,075.45/9,593.46
  6. Step 6: Final answer
    x = 11,934.70

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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.