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Finding the Fourth Proportional to 30,528.64, 45,793.74 and 9,752.14

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Solution

The fourth proportional to 30,528.64, 45,793.74 and 9,752.14 is: 14,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,528.64 : 45,793.74 = 9,752.14 : x
  2. Step 2: Convert to fraction form
    30,528.64/45,793.74 = 9,752.14/x
  3. Step 3: Cross multiply
    30,528.64x = 45,793.74 × 9,752.14
  4. Step 4: Simplify right side
    30,528.64x = 446,586,963.60
  5. Step 5: Solve for x
    x = 446,586,963.60/30,528.64
  6. Step 6: Final answer
    x = 14,628.46

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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.