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Finding the Fourth Proportional to 9,613, 14,412.48 and 6,485.23

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Solution

The fourth proportional to 9,613, 14,412.48 and 6,485.23 is: 9,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 14,412.48 = 6,485.23 : x
  2. Step 2: Convert to fraction form
    9,613/14,412.48 = 6,485.23/x
  3. Step 3: Cross multiply
    9,613x = 14,412.48 × 6,485.23
  4. Step 4: Simplify right side
    9,613x = 93,468,247.67
  5. Step 5: Solve for x
    x = 93,468,247.67/9,613
  6. Step 6: Final answer
    x = 9,723.11

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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.