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Finding the Fourth Proportional to 14,358.63, 19,814.49 and 7,985.07

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Solution

The fourth proportional to 14,358.63, 19,814.49 and 7,985.07 is: 11,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.63 : 19,814.49 = 7,985.07 : x
  2. Step 2: Convert to fraction form
    14,358.63/19,814.49 = 7,985.07/x
  3. Step 3: Cross multiply
    14,358.63x = 19,814.49 × 7,985.07
  4. Step 4: Simplify right side
    14,358.63x = 158,220,089.66
  5. Step 5: Solve for x
    x = 158,220,089.66/14,358.63
  6. Step 6: Final answer
    x = 11,019.16

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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.