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Finding the Fourth Proportional to 9,798.34, 13,526.10 and 5,820.74

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Solution

The fourth proportional to 9,798.34, 13,526.10 and 5,820.74 is: 8,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.34 : 13,526.10 = 5,820.74 : x
  2. Step 2: Convert to fraction form
    9,798.34/13,526.10 = 5,820.74/x
  3. Step 3: Cross multiply
    9,798.34x = 13,526.10 × 5,820.74
  4. Step 4: Simplify right side
    9,798.34x = 78,731,911.31
  5. Step 5: Solve for x
    x = 78,731,911.31/9,798.34
  6. Step 6: Final answer
    x = 8,035.23

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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.