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Finding the Fourth Proportional to 9,859.98, 13,603.47 and 6,133.74

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Solution

The fourth proportional to 9,859.98, 13,603.47 and 6,133.74 is: 8,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.98 : 13,603.47 = 6,133.74 : x
  2. Step 2: Convert to fraction form
    9,859.98/13,603.47 = 6,133.74/x
  3. Step 3: Cross multiply
    9,859.98x = 13,603.47 × 6,133.74
  4. Step 4: Simplify right side
    9,859.98x = 83,440,148.08
  5. Step 5: Solve for x
    x = 83,440,148.08/9,859.98
  6. Step 6: Final answer
    x = 8,462.51

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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.