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Finding the Fourth Proportional to 9,931.98, 14,955.69 and 7,177.44

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Solution

The fourth proportional to 9,931.98, 14,955.69 and 7,177.44 is: 10,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.98 : 14,955.69 = 7,177.44 : x
  2. Step 2: Convert to fraction form
    9,931.98/14,955.69 = 7,177.44/x
  3. Step 3: Cross multiply
    9,931.98x = 14,955.69 × 7,177.44
  4. Step 4: Simplify right side
    9,931.98x = 107,343,567.63
  5. Step 5: Solve for x
    x = 107,343,567.63/9,931.98
  6. Step 6: Final answer
    x = 10,807.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.