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Finding the Fourth Proportional to 9,616.04, 14,424.18 and 3,775.40

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Solution

The fourth proportional to 9,616.04, 14,424.18 and 3,775.40 is: 5,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.04 : 14,424.18 = 3,775.40 : x
  2. Step 2: Convert to fraction form
    9,616.04/14,424.18 = 3,775.40/x
  3. Step 3: Cross multiply
    9,616.04x = 14,424.18 × 3,775.40
  4. Step 4: Simplify right side
    9,616.04x = 54,457,049.17
  5. Step 5: Solve for x
    x = 54,457,049.17/9,616.04
  6. Step 6: Final answer
    x = 5,663.15

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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.