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Finding the Fourth Proportional to 10,435.64, 14,401.02 and 5,655.47

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Solution

The fourth proportional to 10,435.64, 14,401.02 and 5,655.47 is: 7,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.64 : 14,401.02 = 5,655.47 : x
  2. Step 2: Convert to fraction form
    10,435.64/14,401.02 = 5,655.47/x
  3. Step 3: Cross multiply
    10,435.64x = 14,401.02 × 5,655.47
  4. Step 4: Simplify right side
    10,435.64x = 81,444,536.58
  5. Step 5: Solve for x
    x = 81,444,536.58/10,435.64
  6. Step 6: Final answer
    x = 7,804.46

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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.