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Finding the Fourth Proportional to 7,143.33, 9,848.64 and 5,547.27

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Solution

The fourth proportional to 7,143.33, 9,848.64 and 5,547.27 is: 7,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.33 : 9,848.64 = 5,547.27 : x
  2. Step 2: Convert to fraction form
    7,143.33/9,848.64 = 5,547.27/x
  3. Step 3: Cross multiply
    7,143.33x = 9,848.64 × 5,547.27
  4. Step 4: Simplify right side
    7,143.33x = 54,633,065.21
  5. Step 5: Solve for x
    x = 54,633,065.21/7,143.33
  6. Step 6: Final answer
    x = 7,648.12

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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.