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Finding the Fourth Proportional to 10,159.16, 14,016.95 and 6,973.43

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Solution

The fourth proportional to 10,159.16, 14,016.95 and 6,973.43 is: 9,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.16 : 14,016.95 = 6,973.43 : x
  2. Step 2: Convert to fraction form
    10,159.16/14,016.95 = 6,973.43/x
  3. Step 3: Cross multiply
    10,159.16x = 14,016.95 × 6,973.43
  4. Step 4: Simplify right side
    10,159.16x = 97,746,114.69
  5. Step 5: Solve for x
    x = 97,746,114.69/10,159.16
  6. Step 6: Final answer
    x = 9,621.48

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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.