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Finding the Fourth Proportional to 5,484.81, 7,569.10 and 5,066.25

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Solution

The fourth proportional to 5,484.81, 7,569.10 and 5,066.25 is: 6,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.81 : 7,569.10 = 5,066.25 : x
  2. Step 2: Convert to fraction form
    5,484.81/7,569.10 = 5,066.25/x
  3. Step 3: Cross multiply
    5,484.81x = 7,569.10 × 5,066.25
  4. Step 4: Simplify right side
    5,484.81x = 38,346,889.70
  5. Step 5: Solve for x
    x = 38,346,889.70/5,484.81
  6. Step 6: Final answer
    x = 6,991.47

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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.