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Finding the Fourth Proportional to 14,134.16, 19,505.04 and 7,846.52

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Solution

The fourth proportional to 14,134.16, 19,505.04 and 7,846.52 is: 10,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.16 : 19,505.04 = 7,846.52 : x
  2. Step 2: Convert to fraction form
    14,134.16/19,505.04 = 7,846.52/x
  3. Step 3: Cross multiply
    14,134.16x = 19,505.04 × 7,846.52
  4. Step 4: Simplify right side
    14,134.16x = 153,046,686.46
  5. Step 5: Solve for x
    x = 153,046,686.46/14,134.16
  6. Step 6: Final answer
    x = 10,828.14

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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.