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Finding the Fourth Proportional to 7,674.12, 10,586.71 and 4,985.16

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Solution

The fourth proportional to 7,674.12, 10,586.71 and 4,985.16 is: 6,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.12 : 10,586.71 = 4,985.16 : x
  2. Step 2: Convert to fraction form
    7,674.12/10,586.71 = 4,985.16/x
  3. Step 3: Cross multiply
    7,674.12x = 10,586.71 × 4,985.16
  4. Step 4: Simplify right side
    7,674.12x = 52,776,443.22
  5. Step 5: Solve for x
    x = 52,776,443.22/7,674.12
  6. Step 6: Final answer
    x = 6,877.20

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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.