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Finding the Fourth Proportional to 9,751.83, 14,527.97 and 9,281.61

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Solution

The fourth proportional to 9,751.83, 14,527.97 and 9,281.61 is: 13,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.83 : 14,527.97 = 9,281.61 : x
  2. Step 2: Convert to fraction form
    9,751.83/14,527.97 = 9,281.61/x
  3. Step 3: Cross multiply
    9,751.83x = 14,527.97 × 9,281.61
  4. Step 4: Simplify right side
    9,751.83x = 134,842,905.22
  5. Step 5: Solve for x
    x = 134,842,905.22/9,751.83
  6. Step 6: Final answer
    x = 13,827.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.