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Finding the Fourth Proportional to 9,203.20, 12,700.16 and 5,011.20

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Solution

The fourth proportional to 9,203.20, 12,700.16 and 5,011.20 is: 6,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.20 : 12,700.16 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    9,203.20/12,700.16 = 5,011.20/x
  3. Step 3: Cross multiply
    9,203.20x = 12,700.16 × 5,011.20
  4. Step 4: Simplify right side
    9,203.20x = 63,643,041.79
  5. Step 5: Solve for x
    x = 63,643,041.79/9,203.20
  6. Step 6: Final answer
    x = 6,915.32

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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.