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Finding the Fourth Proportional to 9,752.34, 14,610.14 and 4,816.20

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Solution

The fourth proportional to 9,752.34, 14,610.14 and 4,816.20 is: 7,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.34 : 14,610.14 = 4,816.20 : x
  2. Step 2: Convert to fraction form
    9,752.34/14,610.14 = 4,816.20/x
  3. Step 3: Cross multiply
    9,752.34x = 14,610.14 × 4,816.20
  4. Step 4: Simplify right side
    9,752.34x = 70,365,356.27
  5. Step 5: Solve for x
    x = 70,365,356.27/9,752.34
  6. Step 6: Final answer
    x = 7,215.23

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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.