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Finding the Fourth Proportional to 9,607.13, 14,398.13 and 4,923.17

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Solution

The fourth proportional to 9,607.13, 14,398.13 and 4,923.17 is: 7,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.13 : 14,398.13 = 4,923.17 : x
  2. Step 2: Convert to fraction form
    9,607.13/14,398.13 = 4,923.17/x
  3. Step 3: Cross multiply
    9,607.13x = 14,398.13 × 4,923.17
  4. Step 4: Simplify right side
    9,607.13x = 70,884,441.67
  5. Step 5: Solve for x
    x = 70,884,441.67/9,607.13
  6. Step 6: Final answer
    x = 7,378.32

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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.