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Finding the Fourth Proportional to 9,822.66, 13,561.77 and 7,549.95

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Solution

The fourth proportional to 9,822.66, 13,561.77 and 7,549.95 is: 10,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.66 : 13,561.77 = 7,549.95 : x
  2. Step 2: Convert to fraction form
    9,822.66/13,561.77 = 7,549.95/x
  3. Step 3: Cross multiply
    9,822.66x = 13,561.77 × 7,549.95
  4. Step 4: Simplify right side
    9,822.66x = 102,390,685.41
  5. Step 5: Solve for x
    x = 102,390,685.41/9,822.66
  6. Step 6: Final answer
    x = 10,423.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.