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Finding the Fourth Proportional to 9,807.62, 14,699.28 and 4,602.56

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Solution

The fourth proportional to 9,807.62, 14,699.28 and 4,602.56 is: 6,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.62 : 14,699.28 = 4,602.56 : x
  2. Step 2: Convert to fraction form
    9,807.62/14,699.28 = 4,602.56/x
  3. Step 3: Cross multiply
    9,807.62x = 14,699.28 × 4,602.56
  4. Step 4: Simplify right side
    9,807.62x = 67,654,318.16
  5. Step 5: Solve for x
    x = 67,654,318.16/9,807.62
  6. Step 6: Final answer
    x = 6,898.14

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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.