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Finding the Fourth Proportional to 14,377.34, 19,835.34 and 8,407.10

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Solution

The fourth proportional to 14,377.34, 19,835.34 and 8,407.10 is: 11,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.34 : 19,835.34 = 8,407.10 : x
  2. Step 2: Convert to fraction form
    14,377.34/19,835.34 = 8,407.10/x
  3. Step 3: Cross multiply
    14,377.34x = 19,835.34 × 8,407.10
  4. Step 4: Simplify right side
    14,377.34x = 166,757,686.91
  5. Step 5: Solve for x
    x = 166,757,686.91/14,377.34
  6. Step 6: Final answer
    x = 11,598.65

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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.