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Finding the Fourth Proportional to 14,737.51, 20,337.15 and 8,023

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Solution

The fourth proportional to 14,737.51, 20,337.15 and 8,023 is: 11,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.51 : 20,337.15 = 8,023 : x
  2. Step 2: Convert to fraction form
    14,737.51/20,337.15 = 8,023/x
  3. Step 3: Cross multiply
    14,737.51x = 20,337.15 × 8,023
  4. Step 4: Simplify right side
    14,737.51x = 163,164,914.34
  5. Step 5: Solve for x
    x = 163,164,914.34/14,737.51
  6. Step 6: Final answer
    x = 11,071.40

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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.