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Finding the Fourth Proportional to 9,705.72, 14,544.36 and 9,475.68

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Solution

The fourth proportional to 9,705.72, 14,544.36 and 9,475.68 is: 14,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.72 : 14,544.36 = 9,475.68 : x
  2. Step 2: Convert to fraction form
    9,705.72/14,544.36 = 9,475.68/x
  3. Step 3: Cross multiply
    9,705.72x = 14,544.36 × 9,475.68
  4. Step 4: Simplify right side
    9,705.72x = 137,817,701.16
  5. Step 5: Solve for x
    x = 137,817,701.16/9,705.72
  6. Step 6: Final answer
    x = 14,199.64

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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.