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Finding the Fourth Proportional to 3,247.02, 4,870.50 and 907.02

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Solution

The fourth proportional to 3,247.02, 4,870.50 and 907.02 is: 1,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.02 : 4,870.50 = 907.02 : x
  2. Step 2: Convert to fraction form
    3,247.02/4,870.50 = 907.02/x
  3. Step 3: Cross multiply
    3,247.02x = 4,870.50 × 907.02
  4. Step 4: Simplify right side
    3,247.02x = 4,417,640.91
  5. Step 5: Solve for x
    x = 4,417,640.91/3,247.02
  6. Step 6: Final answer
    x = 1,360.52

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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.