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Finding the Fourth Proportional to 10,689.19, 14,750.80 and 5,973.50

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Solution

The fourth proportional to 10,689.19, 14,750.80 and 5,973.50 is: 8,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.19 : 14,750.80 = 5,973.50 : x
  2. Step 2: Convert to fraction form
    10,689.19/14,750.80 = 5,973.50/x
  3. Step 3: Cross multiply
    10,689.19x = 14,750.80 × 5,973.50
  4. Step 4: Simplify right side
    10,689.19x = 88,113,925.74
  5. Step 5: Solve for x
    x = 88,113,925.74/10,689.19
  6. Step 6: Final answer
    x = 8,243.28

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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.