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Finding the Fourth Proportional to 9,957.70, 13,745.88 and 7,088.28

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Solution

The fourth proportional to 9,957.70, 13,745.88 and 7,088.28 is: 9,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.70 : 13,745.88 = 7,088.28 : x
  2. Step 2: Convert to fraction form
    9,957.70/13,745.88 = 7,088.28/x
  3. Step 3: Cross multiply
    9,957.70x = 13,745.88 × 7,088.28
  4. Step 4: Simplify right side
    9,957.70x = 97,434,646.29
  5. Step 5: Solve for x
    x = 97,434,646.29/9,957.70
  6. Step 6: Final answer
    x = 9,784.85

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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.