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Finding the Fourth Proportional to 7,140, 9,857.52 and 4,660.32

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Solution

The fourth proportional to 7,140, 9,857.52 and 4,660.32 is: 6,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 9,857.52 = 4,660.32 : x
  2. Step 2: Convert to fraction form
    7,140/9,857.52 = 4,660.32/x
  3. Step 3: Cross multiply
    7,140x = 9,857.52 × 4,660.32
  4. Step 4: Simplify right side
    7,140x = 45,939,197.61
  5. Step 5: Solve for x
    x = 45,939,197.61/7,140
  6. Step 6: Final answer
    x = 6,434.06

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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.