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Finding the Fourth Proportional to 9,277.88, 13,881.94 and 6,509.95

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Solution

The fourth proportional to 9,277.88, 13,881.94 and 6,509.95 is: 9,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.88 : 13,881.94 = 6,509.95 : x
  2. Step 2: Convert to fraction form
    9,277.88/13,881.94 = 6,509.95/x
  3. Step 3: Cross multiply
    9,277.88x = 13,881.94 × 6,509.95
  4. Step 4: Simplify right side
    9,277.88x = 90,370,684.32
  5. Step 5: Solve for x
    x = 90,370,684.32/9,277.88
  6. Step 6: Final answer
    x = 9,740.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.