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Finding the Fourth Proportional to 10,443.40, 15,665.10 and 9,714.40

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Solution

The fourth proportional to 10,443.40, 15,665.10 and 9,714.40 is: 14,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.40 : 15,665.10 = 9,714.40 : x
  2. Step 2: Convert to fraction form
    10,443.40/15,665.10 = 9,714.40/x
  3. Step 3: Cross multiply
    10,443.40x = 15,665.10 × 9,714.40
  4. Step 4: Simplify right side
    10,443.40x = 152,177,047.44
  5. Step 5: Solve for x
    x = 152,177,047.44/10,443.40
  6. Step 6: Final answer
    x = 14,571.60

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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.