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Finding the Fourth Proportional to 9,931.16, 14,875.76 and 6,796.44

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Solution

The fourth proportional to 9,931.16, 14,875.76 and 6,796.44 is: 10,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.16 : 14,875.76 = 6,796.44 : x
  2. Step 2: Convert to fraction form
    9,931.16/14,875.76 = 6,796.44/x
  3. Step 3: Cross multiply
    9,931.16x = 14,875.76 × 6,796.44
  4. Step 4: Simplify right side
    9,931.16x = 101,102,210.29
  5. Step 5: Solve for x
    x = 101,102,210.29/9,931.16
  6. Step 6: Final answer
    x = 10,180.30

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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.