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Finding the Fourth Proportional to 10,478.63, 14,460.21 and 5,762.91

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Solution

The fourth proportional to 10,478.63, 14,460.21 and 5,762.91 is: 7,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.63 : 14,460.21 = 5,762.91 : x
  2. Step 2: Convert to fraction form
    10,478.63/14,460.21 = 5,762.91/x
  3. Step 3: Cross multiply
    10,478.63x = 14,460.21 × 5,762.91
  4. Step 4: Simplify right side
    10,478.63x = 83,332,816.51
  5. Step 5: Solve for x
    x = 83,332,816.51/10,478.63
  6. Step 6: Final answer
    x = 7,952.65

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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.