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Finding the Fourth Proportional to 6,569.28, 9,852.48 and 1,953.12

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Solution

The fourth proportional to 6,569.28, 9,852.48 and 1,953.12 is: 2,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.28 : 9,852.48 = 1,953.12 : x
  2. Step 2: Convert to fraction form
    6,569.28/9,852.48 = 1,953.12/x
  3. Step 3: Cross multiply
    6,569.28x = 9,852.48 × 1,953.12
  4. Step 4: Simplify right side
    6,569.28x = 19,243,075.74
  5. Step 5: Solve for x
    x = 19,243,075.74/6,569.28
  6. Step 6: Final answer
    x = 2,929.25

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Double scale
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Similar ratio
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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.