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Finding the Fourth Proportional to 9,607.41, 14,396.54 and 7,130.63

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Solution

The fourth proportional to 9,607.41, 14,396.54 and 7,130.63 is: 10,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.41 : 14,396.54 = 7,130.63 : x
  2. Step 2: Convert to fraction form
    9,607.41/14,396.54 = 7,130.63/x
  3. Step 3: Cross multiply
    9,607.41x = 14,396.54 × 7,130.63
  4. Step 4: Simplify right side
    9,607.41x = 102,656,400.36
  5. Step 5: Solve for x
    x = 102,656,400.36/9,607.41
  6. Step 6: Final answer
    x = 10,685.13

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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.