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Finding the Fourth Proportional to 10,478.40, 15,717.60 and 9,749.40

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Solution

The fourth proportional to 10,478.40, 15,717.60 and 9,749.40 is: 14,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.40 : 15,717.60 = 9,749.40 : x
  2. Step 2: Convert to fraction form
    10,478.40/15,717.60 = 9,749.40/x
  3. Step 3: Cross multiply
    10,478.40x = 15,717.60 × 9,749.40
  4. Step 4: Simplify right side
    10,478.40x = 153,237,169.44
  5. Step 5: Solve for x
    x = 153,237,169.44/10,478.40
  6. Step 6: Final answer
    x = 14,624.10

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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.