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Finding the Fourth Proportional to 14,527.67, 21,803.18 and 7,509.74

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Solution

The fourth proportional to 14,527.67, 21,803.18 and 7,509.74 is: 11,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.67 : 21,803.18 = 7,509.74 : x
  2. Step 2: Convert to fraction form
    14,527.67/21,803.18 = 7,509.74/x
  3. Step 3: Cross multiply
    14,527.67x = 21,803.18 × 7,509.74
  4. Step 4: Simplify right side
    14,527.67x = 163,736,229.93
  5. Step 5: Solve for x
    x = 163,736,229.93/14,527.67
  6. Step 6: Final answer
    x = 11,270.65

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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.