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Finding the Fourth Proportional to 9,282.65, 13,827.51 and 8,779.64

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Solution

The fourth proportional to 9,282.65, 13,827.51 and 8,779.64 is: 13,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.65 : 13,827.51 = 8,779.64 : x
  2. Step 2: Convert to fraction form
    9,282.65/13,827.51 = 8,779.64/x
  3. Step 3: Cross multiply
    9,282.65x = 13,827.51 × 8,779.64
  4. Step 4: Simplify right side
    9,282.65x = 121,400,490.76
  5. Step 5: Solve for x
    x = 121,400,490.76/9,282.65
  6. Step 6: Final answer
    x = 13,078.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.