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Finding the Fourth Proportional to 8,464.51, 11,678.20 and 5,484.16

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Solution

The fourth proportional to 8,464.51, 11,678.20 and 5,484.16 is: 7,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.51 : 11,678.20 = 5,484.16 : x
  2. Step 2: Convert to fraction form
    8,464.51/11,678.20 = 5,484.16/x
  3. Step 3: Cross multiply
    8,464.51x = 11,678.20 × 5,484.16
  4. Step 4: Simplify right side
    8,464.51x = 64,045,117.31
  5. Step 5: Solve for x
    x = 64,045,117.31/8,464.51
  6. Step 6: Final answer
    x = 7,566.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.