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Finding the Fourth Proportional to 7,549.84, 10,420.02 and 4,405.42

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Solution

The fourth proportional to 7,549.84, 10,420.02 and 4,405.42 is: 6,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.84 : 10,420.02 = 4,405.42 : x
  2. Step 2: Convert to fraction form
    7,549.84/10,420.02 = 4,405.42/x
  3. Step 3: Cross multiply
    7,549.84x = 10,420.02 × 4,405.42
  4. Step 4: Simplify right side
    7,549.84x = 45,904,564.51
  5. Step 5: Solve for x
    x = 45,904,564.51/7,549.84
  6. Step 6: Final answer
    x = 6,080.20

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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.