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Finding the Fourth Proportional to 7,798.48, 11,706.90 and 6,156.16

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Solution

The fourth proportional to 7,798.48, 11,706.90 and 6,156.16 is: 9,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.48 : 11,706.90 = 6,156.16 : x
  2. Step 2: Convert to fraction form
    7,798.48/11,706.90 = 6,156.16/x
  3. Step 3: Cross multiply
    7,798.48x = 11,706.90 × 6,156.16
  4. Step 4: Simplify right side
    7,798.48x = 72,069,549.50
  5. Step 5: Solve for x
    x = 72,069,549.50/7,798.48
  6. Step 6: Final answer
    x = 9,241.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.