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Finding the Fourth Proportional to 9,864.48, 13,594.14 and 7,065.12

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Solution

The fourth proportional to 9,864.48, 13,594.14 and 7,065.12 is: 9,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.48 : 13,594.14 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    9,864.48/13,594.14 = 7,065.12/x
  3. Step 3: Cross multiply
    9,864.48x = 13,594.14 × 7,065.12
  4. Step 4: Simplify right side
    9,864.48x = 96,044,230.40
  5. Step 5: Solve for x
    x = 96,044,230.40/9,864.48
  6. Step 6: Final answer
    x = 9,736.37

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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.