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Finding the Fourth Proportional to 9,506.00, 14,260.88 and 3,264.50

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Solution

The fourth proportional to 9,506.00, 14,260.88 and 3,264.50 is: 4,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.00 : 14,260.88 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    9,506.00/14,260.88 = 3,264.50/x
  3. Step 3: Cross multiply
    9,506.00x = 14,260.88 × 3,264.50
  4. Step 4: Simplify right side
    9,506.00x = 46,554,555.13
  5. Step 5: Solve for x
    x = 46,554,555.13/9,506.00
  6. Step 6: Final answer
    x = 4,897.39

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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.