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Finding the Fourth Proportional to 9,953.10, 14,929.65 and 6,842.70

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Solution

The fourth proportional to 9,953.10, 14,929.65 and 6,842.70 is: 10,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.10 : 14,929.65 = 6,842.70 : x
  2. Step 2: Convert to fraction form
    9,953.10/14,929.65 = 6,842.70/x
  3. Step 3: Cross multiply
    9,953.10x = 14,929.65 × 6,842.70
  4. Step 4: Simplify right side
    9,953.10x = 102,159,116.06
  5. Step 5: Solve for x
    x = 102,159,116.06/9,953.10
  6. Step 6: Final answer
    x = 10,264.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.