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Finding the Fourth Proportional to 13,695.40, 20,499.90 and 9,807.40

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Solution

The fourth proportional to 13,695.40, 20,499.90 and 9,807.40 is: 14,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.40 : 20,499.90 = 9,807.40 : x
  2. Step 2: Convert to fraction form
    13,695.40/20,499.90 = 9,807.40/x
  3. Step 3: Cross multiply
    13,695.40x = 20,499.90 × 9,807.40
  4. Step 4: Simplify right side
    13,695.40x = 201,050,719.26
  5. Step 5: Solve for x
    x = 201,050,719.26/13,695.40
  6. Step 6: Final answer
    x = 14,680.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.