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Finding the Fourth Proportional to 8,312.01, 12,437.02 and 4,982.10

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Solution

The fourth proportional to 8,312.01, 12,437.02 and 4,982.10 is: 7,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.01 : 12,437.02 = 4,982.10 : x
  2. Step 2: Convert to fraction form
    8,312.01/12,437.02 = 4,982.10/x
  3. Step 3: Cross multiply
    8,312.01x = 12,437.02 × 4,982.10
  4. Step 4: Simplify right side
    8,312.01x = 61,962,477.34
  5. Step 5: Solve for x
    x = 61,962,477.34/8,312.01
  6. Step 6: Final answer
    x = 7,454.57

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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.