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Finding the Fourth Proportional to 13,206.53, 19,802.64 and 5,802.32

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Solution

The fourth proportional to 13,206.53, 19,802.64 and 5,802.32 is: 8,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.53 : 19,802.64 = 5,802.32 : x
  2. Step 2: Convert to fraction form
    13,206.53/19,802.64 = 5,802.32/x
  3. Step 3: Cross multiply
    13,206.53x = 19,802.64 × 5,802.32
  4. Step 4: Simplify right side
    13,206.53x = 114,901,254.12
  5. Step 5: Solve for x
    x = 114,901,254.12/13,206.53
  6. Step 6: Final answer
    x = 8,700.34

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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.