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Finding the Fourth Proportional to 9,547.72, 14,307.74 and 6,779.82

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Solution

The fourth proportional to 9,547.72, 14,307.74 and 6,779.82 is: 10,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.72 : 14,307.74 = 6,779.82 : x
  2. Step 2: Convert to fraction form
    9,547.72/14,307.74 = 6,779.82/x
  3. Step 3: Cross multiply
    9,547.72x = 14,307.74 × 6,779.82
  4. Step 4: Simplify right side
    9,547.72x = 97,003,901.81
  5. Step 5: Solve for x
    x = 97,003,901.81/9,547.72
  6. Step 6: Final answer
    x = 10,159.90

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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.