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Finding the Fourth Proportional to 10,374.06, 14,316.03 and 5,658.06

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Solution

The fourth proportional to 10,374.06, 14,316.03 and 5,658.06 is: 7,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.06 : 14,316.03 = 5,658.06 : x
  2. Step 2: Convert to fraction form
    10,374.06/14,316.03 = 5,658.06/x
  3. Step 3: Cross multiply
    10,374.06x = 14,316.03 × 5,658.06
  4. Step 4: Simplify right side
    10,374.06x = 81,000,956.70
  5. Step 5: Solve for x
    x = 81,000,956.70/10,374.06
  6. Step 6: Final answer
    x = 7,808.03

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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.