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Finding the Fourth Proportional to 9,957.88, 13,736.16 and 6,225.40

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Solution

The fourth proportional to 9,957.88, 13,736.16 and 6,225.40 is: 8,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.88 : 13,736.16 = 6,225.40 : x
  2. Step 2: Convert to fraction form
    9,957.88/13,736.16 = 6,225.40/x
  3. Step 3: Cross multiply
    9,957.88x = 13,736.16 × 6,225.40
  4. Step 4: Simplify right side
    9,957.88x = 85,513,090.46
  5. Step 5: Solve for x
    x = 85,513,090.46/9,957.88
  6. Step 6: Final answer
    x = 8,587.48

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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.