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Finding the Fourth Proportional to 30,527.93, 45,793.63 and 9,470.97

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Solution

The fourth proportional to 30,527.93, 45,793.63 and 9,470.97 is: 14,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.93 : 45,793.63 = 9,470.97 : x
  2. Step 2: Convert to fraction form
    30,527.93/45,793.63 = 9,470.97/x
  3. Step 3: Cross multiply
    30,527.93x = 45,793.63 × 9,470.97
  4. Step 4: Simplify right side
    30,527.93x = 433,710,095.92
  5. Step 5: Solve for x
    x = 433,710,095.92/30,527.93
  6. Step 6: Final answer
    x = 14,206.99

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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.