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Finding the Fourth Proportional to 6,892.34, 9,510.84 and 4,657.28

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Solution

The fourth proportional to 6,892.34, 9,510.84 and 4,657.28 is: 6,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.34 : 9,510.84 = 4,657.28 : x
  2. Step 2: Convert to fraction form
    6,892.34/9,510.84 = 4,657.28/x
  3. Step 3: Cross multiply
    6,892.34x = 9,510.84 × 4,657.28
  4. Step 4: Simplify right side
    6,892.34x = 44,294,597.36
  5. Step 5: Solve for x
    x = 44,294,597.36/6,892.34
  6. Step 6: Final answer
    x = 6,426.65

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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.