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Finding the Fourth Proportional to 9,775.93, 14,661.64 and 5,828.30

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Solution

The fourth proportional to 9,775.93, 14,661.64 and 5,828.30 is: 8,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.93 : 14,661.64 = 5,828.30 : x
  2. Step 2: Convert to fraction form
    9,775.93/14,661.64 = 5,828.30/x
  3. Step 3: Cross multiply
    9,775.93x = 14,661.64 × 5,828.30
  4. Step 4: Simplify right side
    9,775.93x = 85,452,436.41
  5. Step 5: Solve for x
    x = 85,452,436.41/9,775.93
  6. Step 6: Final answer
    x = 8,741.11

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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.