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Finding the Fourth Proportional to 10,159.68, 14,018.06 and 5,683.01

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Solution

The fourth proportional to 10,159.68, 14,018.06 and 5,683.01 is: 7,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.68 : 14,018.06 = 5,683.01 : x
  2. Step 2: Convert to fraction form
    10,159.68/14,018.06 = 5,683.01/x
  3. Step 3: Cross multiply
    10,159.68x = 14,018.06 × 5,683.01
  4. Step 4: Simplify right side
    10,159.68x = 79,664,798.13
  5. Step 5: Solve for x
    x = 79,664,798.13/10,159.68
  6. Step 6: Final answer
    x = 7,841.27

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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.