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Finding the Fourth Proportional to 10,048.77, 13,864.47 and 7,917.70

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Solution

The fourth proportional to 10,048.77, 13,864.47 and 7,917.70 is: 10,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.77 : 13,864.47 = 7,917.70 : x
  2. Step 2: Convert to fraction form
    10,048.77/13,864.47 = 7,917.70/x
  3. Step 3: Cross multiply
    10,048.77x = 13,864.47 × 7,917.70
  4. Step 4: Simplify right side
    10,048.77x = 109,774,644.80
  5. Step 5: Solve for x
    x = 109,774,644.80/10,048.77
  6. Step 6: Final answer
    x = 10,924.19

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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.