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Finding the Fourth Proportional to 9,762.33, 14,658.08 and 9,616.53

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Solution

The fourth proportional to 9,762.33, 14,658.08 and 9,616.53 is: 14,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.33 : 14,658.08 = 9,616.53 : x
  2. Step 2: Convert to fraction form
    9,762.33/14,658.08 = 9,616.53/x
  3. Step 3: Cross multiply
    9,762.33x = 14,658.08 × 9,616.53
  4. Step 4: Simplify right side
    9,762.33x = 140,959,866.06
  5. Step 5: Solve for x
    x = 140,959,866.06/9,762.33
  6. Step 6: Final answer
    x = 14,439.16

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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.