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Finding the Fourth Proportional to 7,407.64, 10,223.50 and 4,222.10

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Solution

The fourth proportional to 7,407.64, 10,223.50 and 4,222.10 is: 5,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.64 : 10,223.50 = 4,222.10 : x
  2. Step 2: Convert to fraction form
    7,407.64/10,223.50 = 4,222.10/x
  3. Step 3: Cross multiply
    7,407.64x = 10,223.50 × 4,222.10
  4. Step 4: Simplify right side
    7,407.64x = 43,164,639.35
  5. Step 5: Solve for x
    x = 43,164,639.35/7,407.64
  6. Step 6: Final answer
    x = 5,827.04

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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.