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Finding the Fourth Proportional to 9,657.46, 14,495.91 and 7,052.50

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Solution

The fourth proportional to 9,657.46, 14,495.91 and 7,052.50 is: 10,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.46 : 14,495.91 = 7,052.50 : x
  2. Step 2: Convert to fraction form
    9,657.46/14,495.91 = 7,052.50/x
  3. Step 3: Cross multiply
    9,657.46x = 14,495.91 × 7,052.50
  4. Step 4: Simplify right side
    9,657.46x = 102,232,405.28
  5. Step 5: Solve for x
    x = 102,232,405.28/9,657.46
  6. Step 6: Final answer
    x = 10,585.85

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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.