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Finding the Fourth Proportional to 9,657.60, 14,481.60 and 4,460.16

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Solution

The fourth proportional to 9,657.60, 14,481.60 and 4,460.16 is: 6,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.60 : 14,481.60 = 4,460.16 : x
  2. Step 2: Convert to fraction form
    9,657.60/14,481.60 = 4,460.16/x
  3. Step 3: Cross multiply
    9,657.60x = 14,481.60 × 4,460.16
  4. Step 4: Simplify right side
    9,657.60x = 64,590,253.06
  5. Step 5: Solve for x
    x = 64,590,253.06/9,657.60
  6. Step 6: Final answer
    x = 6,688.02

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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.