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Finding the Fourth Proportional to 10,437.64, 14,403.78 and 5,657.47

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Solution

The fourth proportional to 10,437.64, 14,403.78 and 5,657.47 is: 7,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.64 : 14,403.78 = 5,657.47 : x
  2. Step 2: Convert to fraction form
    10,437.64/14,403.78 = 5,657.47/x
  3. Step 3: Cross multiply
    10,437.64x = 14,403.78 × 5,657.47
  4. Step 4: Simplify right side
    10,437.64x = 81,488,953.24
  5. Step 5: Solve for x
    x = 81,488,953.24/10,437.64
  6. Step 6: Final answer
    x = 7,807.22

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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.