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Finding the Fourth Proportional to 9,705.96, 14,558.94 and 4,509

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Solution

The fourth proportional to 9,705.96, 14,558.94 and 4,509 is: 6,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.96 : 14,558.94 = 4,509 : x
  2. Step 2: Convert to fraction form
    9,705.96/14,558.94 = 4,509/x
  3. Step 3: Cross multiply
    9,705.96x = 14,558.94 × 4,509
  4. Step 4: Simplify right side
    9,705.96x = 65,646,260.46
  5. Step 5: Solve for x
    x = 65,646,260.46/9,705.96
  6. Step 6: Final answer
    x = 6,763.50

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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.